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Finding the Third Proportional to 29,239 and 42,764

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Solution

The third proportional to 29,239 and 42,764 is: 62,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,239 : 42,764 = 42,764 : x
  2. Step 2: Convert to fraction form
    29,239/42,764 = 42,764/x
  3. Step 3: Cross multiply
    29,239x = 42,764 × 42,764
  4. Step 4: Simplify right side
    29,239x = 1,828,759,696
  5. Step 5: Solve for x
    x = 1,828,759,696/29,239
  6. Step 6: Final answer
    x = 62,545.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.