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Finding the Third Proportional to 31,526 and 48,815

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Solution

The third proportional to 31,526 and 48,815 is: 75,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,526 : 48,815 = 48,815 : x
  2. Step 2: Convert to fraction form
    31,526/48,815 = 48,815/x
  3. Step 3: Cross multiply
    31,526x = 48,815 × 48,815
  4. Step 4: Simplify right side
    31,526x = 2,382,904,225
  5. Step 5: Solve for x
    x = 2,382,904,225/31,526
  6. Step 6: Final answer
    x = 75,585.37

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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.