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Finding the Third Proportional to 31,950.07 and 49,609.13

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Solution

The third proportional to 31,950.07 and 49,609.13 is: 77,028.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.07 : 49,609.13 = 49,609.13 : x
  2. Step 2: Convert to fraction form
    31,950.07/49,609.13 = 49,609.13/x
  3. Step 3: Cross multiply
    31,950.07x = 49,609.13 × 49,609.13
  4. Step 4: Simplify right side
    31,950.07x = 2,461,065,283.27
  5. Step 5: Solve for x
    x = 2,461,065,283.27/31,950.07
  6. Step 6: Final answer
    x = 77,028.48

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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.