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Finding the Third Proportional to 25,029 and 37,725

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Solution

The third proportional to 25,029 and 37,725 is: 56,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,029 : 37,725 = 37,725 : x
  2. Step 2: Convert to fraction form
    25,029/37,725 = 37,725/x
  3. Step 3: Cross multiply
    25,029x = 37,725 × 37,725
  4. Step 4: Simplify right side
    25,029x = 1,423,175,625
  5. Step 5: Solve for x
    x = 1,423,175,625/25,029
  6. Step 6: Final answer
    x = 56,861.07

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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.