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Finding the Third Proportional to 48,581 and 71,482

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Solution

The third proportional to 48,581 and 71,482 is: 105,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,581 : 71,482 = 71,482 : x
  2. Step 2: Convert to fraction form
    48,581/71,482 = 71,482/x
  3. Step 3: Cross multiply
    48,581x = 71,482 × 71,482
  4. Step 4: Simplify right side
    48,581x = 5,109,676,324
  5. Step 5: Solve for x
    x = 5,109,676,324/48,581
  6. Step 6: Final answer
    x = 105,178.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.