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Finding the Third Proportional to 41,306 and 62,346

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Solution

The third proportional to 41,306 and 62,346 is: 94,103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,306 : 62,346 = 62,346 : x
  2. Step 2: Convert to fraction form
    41,306/62,346 = 62,346/x
  3. Step 3: Cross multiply
    41,306x = 62,346 × 62,346
  4. Step 4: Simplify right side
    41,306x = 3,887,023,716
  5. Step 5: Solve for x
    x = 3,887,023,716/41,306
  6. Step 6: Final answer
    x = 94,103.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.