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Finding the Third Proportional to 29,218 and 47,470

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Solution

The third proportional to 29,218 and 47,470 is: 77,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,218 : 47,470 = 47,470 : x
  2. Step 2: Convert to fraction form
    29,218/47,470 = 47,470/x
  3. Step 3: Cross multiply
    29,218x = 47,470 × 47,470
  4. Step 4: Simplify right side
    29,218x = 2,253,400,900
  5. Step 5: Solve for x
    x = 2,253,400,900/29,218
  6. Step 6: Final answer
    x = 77,123.72

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.