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Finding the Third Proportional to 29,730 and 40,766

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Solution

The third proportional to 29,730 and 40,766 is: 55,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,730 : 40,766 = 40,766 : x
  2. Step 2: Convert to fraction form
    29,730/40,766 = 40,766/x
  3. Step 3: Cross multiply
    29,730x = 40,766 × 40,766
  4. Step 4: Simplify right side
    29,730x = 1,661,866,756
  5. Step 5: Solve for x
    x = 1,661,866,756/29,730
  6. Step 6: Final answer
    x = 55,898.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.