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Finding the Third Proportional to 15,805.13 and 32,015.25

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Solution

The third proportional to 15,805.13 and 32,015.25 is: 64,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.13 : 32,015.25 = 32,015.25 : x
  2. Step 2: Convert to fraction form
    15,805.13/32,015.25 = 32,015.25/x
  3. Step 3: Cross multiply
    15,805.13x = 32,015.25 × 32,015.25
  4. Step 4: Simplify right side
    15,805.13x = 1,024,976,232.56
  5. Step 5: Solve for x
    x = 1,024,976,232.56/15,805.13
  6. Step 6: Final answer
    x = 64,850.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.