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Finding the Third Proportional to 41,306 and 57,470

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Solution

The third proportional to 41,306 and 57,470 is: 79,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,306 : 57,470 = 57,470 : x
  2. Step 2: Convert to fraction form
    41,306/57,470 = 57,470/x
  3. Step 3: Cross multiply
    41,306x = 57,470 × 57,470
  4. Step 4: Simplify right side
    41,306x = 3,302,800,900
  5. Step 5: Solve for x
    x = 3,302,800,900/41,306
  6. Step 6: Final answer
    x = 79,959.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.