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Finding the Third Proportional to 31,502.25 and 49,287.75

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Solution

The third proportional to 31,502.25 and 49,287.75 is: 77,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.25 : 49,287.75 = 49,287.75 : x
  2. Step 2: Convert to fraction form
    31,502.25/49,287.75 = 49,287.75/x
  3. Step 3: Cross multiply
    31,502.25x = 49,287.75 × 49,287.75
  4. Step 4: Simplify right side
    31,502.25x = 2,429,282,300.06
  5. Step 5: Solve for x
    x = 2,429,282,300.06/31,502.25
  6. Step 6: Final answer
    x = 77,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.