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Finding the Third Proportional to 29,208 and 42,870

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Solution

The third proportional to 29,208 and 42,870 is: 62,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,208 : 42,870 = 42,870 : x
  2. Step 2: Convert to fraction form
    29,208/42,870 = 42,870/x
  3. Step 3: Cross multiply
    29,208x = 42,870 × 42,870
  4. Step 4: Simplify right side
    29,208x = 1,837,836,900
  5. Step 5: Solve for x
    x = 1,837,836,900/29,208
  6. Step 6: Final answer
    x = 62,922.38

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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.