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Finding the Third Proportional to 15,009.75 and 32,563

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Solution

The third proportional to 15,009.75 and 32,563 is: 70,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.75 : 32,563 = 32,563 : x
  2. Step 2: Convert to fraction form
    15,009.75/32,563 = 32,563/x
  3. Step 3: Cross multiply
    15,009.75x = 32,563 × 32,563
  4. Step 4: Simplify right side
    15,009.75x = 1,060,348,969
  5. Step 5: Solve for x
    x = 1,060,348,969/15,009.75
  6. Step 6: Final answer
    x = 70,644.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.