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Finding the Third Proportional to 31,660 and 49,020

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Solution

The third proportional to 31,660 and 49,020 is: 75,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660 : 49,020 = 49,020 : x
  2. Step 2: Convert to fraction form
    31,660/49,020 = 49,020/x
  3. Step 3: Cross multiply
    31,660x = 49,020 × 49,020
  4. Step 4: Simplify right side
    31,660x = 2,402,960,400
  5. Step 5: Solve for x
    x = 2,402,960,400/31,660
  6. Step 6: Final answer
    x = 75,898.94

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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.