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Finding the Third Proportional to 25,423.88 and 39,229.31

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Solution

The third proportional to 25,423.88 and 39,229.31 is: 60,531.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.88 : 39,229.31 = 39,229.31 : x
  2. Step 2: Convert to fraction form
    25,423.88/39,229.31 = 39,229.31/x
  3. Step 3: Cross multiply
    25,423.88x = 39,229.31 × 39,229.31
  4. Step 4: Simplify right side
    25,423.88x = 1,538,938,959.22
  5. Step 5: Solve for x
    x = 1,538,938,959.22/25,423.88
  6. Step 6: Final answer
    x = 60,531.25

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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.