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Finding the Third Proportional to 12,582 and 29,725

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Solution

The third proportional to 12,582 and 29,725 is: 70,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582 : 29,725 = 29,725 : x
  2. Step 2: Convert to fraction form
    12,582/29,725 = 29,725/x
  3. Step 3: Cross multiply
    12,582x = 29,725 × 29,725
  4. Step 4: Simplify right side
    12,582x = 883,575,625
  5. Step 5: Solve for x
    x = 883,575,625/12,582
  6. Step 6: Final answer
    x = 70,225.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.