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Finding the Third Proportional to 15,400.13 and 27,803.25

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Solution

The third proportional to 15,400.13 and 27,803.25 is: 50,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.13 : 27,803.25 = 27,803.25 : x
  2. Step 2: Convert to fraction form
    15,400.13/27,803.25 = 27,803.25/x
  3. Step 3: Cross multiply
    15,400.13x = 27,803.25 × 27,803.25
  4. Step 4: Simplify right side
    15,400.13x = 773,020,710.56
  5. Step 5: Solve for x
    x = 773,020,710.56/15,400.13
  6. Step 6: Final answer
    x = 50,195.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.