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Finding the Third Proportional to 34,947 and 46,561

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Solution

The third proportional to 34,947 and 46,561 is: 62,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,947 : 46,561 = 46,561 : x
  2. Step 2: Convert to fraction form
    34,947/46,561 = 46,561/x
  3. Step 3: Cross multiply
    34,947x = 46,561 × 46,561
  4. Step 4: Simplify right side
    34,947x = 2,167,926,721
  5. Step 5: Solve for x
    x = 2,167,926,721/34,947
  6. Step 6: Final answer
    x = 62,034.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.