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Finding the Third Proportional to 29,730 and 46,182

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Solution

The third proportional to 29,730 and 46,182 is: 71,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730 : 46,182 = 46,182 : x
  2. Step 2: Convert to fraction form
    29,730/46,182 = 46,182/x
  3. Step 3: Cross multiply
    29,730x = 46,182 × 46,182
  4. Step 4: Simplify right side
    29,730x = 2,132,777,124
  5. Step 5: Solve for x
    x = 2,132,777,124/29,730
  6. Step 6: Final answer
    x = 71,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.