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Finding the Third Proportional to 15,851.25 and 24,459.75

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Solution

The third proportional to 15,851.25 and 24,459.75 is: 37,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,851.25 : 24,459.75 = 24,459.75 : x
  2. Step 2: Convert to fraction form
    15,851.25/24,459.75 = 24,459.75/x
  3. Step 3: Cross multiply
    15,851.25x = 24,459.75 × 24,459.75
  4. Step 4: Simplify right side
    15,851.25x = 598,279,370.06
  5. Step 5: Solve for x
    x = 598,279,370.06/15,851.25
  6. Step 6: Final answer
    x = 37,743.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.