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Finding the Third Proportional to 25,432.50 and 38,334

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Solution

The third proportional to 25,432.50 and 38,334 is: 57,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,432.50 : 38,334 = 38,334 : x
  2. Step 2: Convert to fraction form
    25,432.50/38,334 = 38,334/x
  3. Step 3: Cross multiply
    25,432.50x = 38,334 × 38,334
  4. Step 4: Simplify right side
    25,432.50x = 1,469,495,556
  5. Step 5: Solve for x
    x = 1,469,495,556/25,432.50
  6. Step 6: Final answer
    x = 57,780.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.