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Finding the Third Proportional to 24,829 and 56,725

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Solution

The third proportional to 24,829 and 56,725 is: 129,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829 : 56,725 = 56,725 : x
  2. Step 2: Convert to fraction form
    24,829/56,725 = 56,725/x
  3. Step 3: Cross multiply
    24,829x = 56,725 × 56,725
  4. Step 4: Simplify right side
    24,829x = 3,217,725,625
  5. Step 5: Solve for x
    x = 3,217,725,625/24,829
  6. Step 6: Final answer
    x = 129,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.