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Finding the Third Proportional to 48,721.50 and 69,013.69

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Solution

The third proportional to 48,721.50 and 69,013.69 is: 97,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,721.50 : 69,013.69 = 69,013.69 : x
  2. Step 2: Convert to fraction form
    48,721.50/69,013.69 = 69,013.69/x
  3. Step 3: Cross multiply
    48,721.50x = 69,013.69 × 69,013.69
  4. Step 4: Simplify right side
    48,721.50x = 4,762,889,062.35
  5. Step 5: Solve for x
    x = 4,762,889,062.35/48,721.50
  6. Step 6: Final answer
    x = 97,757.44

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.