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Finding the Third Proportional to 48,416 and 71,033

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Solution

The third proportional to 48,416 and 71,033 is: 104,215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 71,033 = 71,033 : x
  2. Step 2: Convert to fraction form
    48,416/71,033 = 71,033/x
  3. Step 3: Cross multiply
    48,416x = 71,033 × 71,033
  4. Step 4: Simplify right side
    48,416x = 5,045,687,089
  5. Step 5: Solve for x
    x = 5,045,687,089/48,416
  6. Step 6: Final answer
    x = 104,215.28

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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.