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Finding the Third Proportional to 48,988 and 75,716

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Solution

The third proportional to 48,988 and 75,716 is: 117,026.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,988 : 75,716 = 75,716 : x
  2. Step 2: Convert to fraction form
    48,988/75,716 = 75,716/x
  3. Step 3: Cross multiply
    48,988x = 75,716 × 75,716
  4. Step 4: Simplify right side
    48,988x = 5,732,912,656
  5. Step 5: Solve for x
    x = 5,732,912,656/48,988
  6. Step 6: Final answer
    x = 117,026.88

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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.