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Finding the Third Proportional to 44,746 and 62,711

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Solution

The third proportional to 44,746 and 62,711 is: 87,888.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,746 : 62,711 = 62,711 : x
  2. Step 2: Convert to fraction form
    44,746/62,711 = 62,711/x
  3. Step 3: Cross multiply
    44,746x = 62,711 × 62,711
  4. Step 4: Simplify right side
    44,746x = 3,932,669,521
  5. Step 5: Solve for x
    x = 3,932,669,521/44,746
  6. Step 6: Final answer
    x = 87,888.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.