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Finding the Third Proportional to 48,416 and 74,812

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Solution

The third proportional to 48,416 and 74,812 is: 115,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416 : 74,812 = 74,812 : x
  2. Step 2: Convert to fraction form
    48,416/74,812 = 74,812/x
  3. Step 3: Cross multiply
    48,416x = 74,812 × 74,812
  4. Step 4: Simplify right side
    48,416x = 5,596,835,344
  5. Step 5: Solve for x
    x = 5,596,835,344/48,416
  6. Step 6: Final answer
    x = 115,598.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.