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Finding the Third Proportional to 48,791 and 71,332

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Solution

The third proportional to 48,791 and 71,332 is: 104,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,791 : 71,332 = 71,332 : x
  2. Step 2: Convert to fraction form
    48,791/71,332 = 71,332/x
  3. Step 3: Cross multiply
    48,791x = 71,332 × 71,332
  4. Step 4: Simplify right side
    48,791x = 5,088,254,224
  5. Step 5: Solve for x
    x = 5,088,254,224/48,791
  6. Step 6: Final answer
    x = 104,286.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.