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Finding the Third Proportional to 29,747 and 43,725

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Solution

The third proportional to 29,747 and 43,725 is: 64,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,747 : 43,725 = 43,725 : x
  2. Step 2: Convert to fraction form
    29,747/43,725 = 43,725/x
  3. Step 3: Cross multiply
    29,747x = 43,725 × 43,725
  4. Step 4: Simplify right side
    29,747x = 1,911,875,625
  5. Step 5: Solve for x
    x = 1,911,875,625/29,747
  6. Step 6: Final answer
    x = 64,271.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.