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Finding the Third Proportional to 48,512 and 72,470

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Solution

The third proportional to 48,512 and 72,470 is: 108,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512 : 72,470 = 72,470 : x
  2. Step 2: Convert to fraction form
    48,512/72,470 = 72,470/x
  3. Step 3: Cross multiply
    48,512x = 72,470 × 72,470
  4. Step 4: Simplify right side
    48,512x = 5,251,900,900
  5. Step 5: Solve for x
    x = 5,251,900,900/48,512
  6. Step 6: Final answer
    x = 108,259.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.