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Finding the Third Proportional to 43,756 and 64,711

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Solution

The third proportional to 43,756 and 64,711 is: 95,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,756 : 64,711 = 64,711 : x
  2. Step 2: Convert to fraction form
    43,756/64,711 = 64,711/x
  3. Step 3: Cross multiply
    43,756x = 64,711 × 64,711
  4. Step 4: Simplify right side
    43,756x = 4,187,513,521
  5. Step 5: Solve for x
    x = 4,187,513,521/43,756
  6. Step 6: Final answer
    x = 95,701.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.