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Finding the Third Proportional to 34,417 and 46,441

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Solution

The third proportional to 34,417 and 46,441 is: 62,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,417 : 46,441 = 46,441 : x
  2. Step 2: Convert to fraction form
    34,417/46,441 = 46,441/x
  3. Step 3: Cross multiply
    34,417x = 46,441 × 46,441
  4. Step 4: Simplify right side
    34,417x = 2,156,766,481
  5. Step 5: Solve for x
    x = 2,156,766,481/34,417
  6. Step 6: Final answer
    x = 62,665.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.