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Finding the Third Proportional to 31,924.13 and 46,959.75

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Solution

The third proportional to 31,924.13 and 46,959.75 is: 69,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.13 : 46,959.75 = 46,959.75 : x
  2. Step 2: Convert to fraction form
    31,924.13/46,959.75 = 46,959.75/x
  3. Step 3: Cross multiply
    31,924.13x = 46,959.75 × 46,959.75
  4. Step 4: Simplify right side
    31,924.13x = 2,205,218,120.06
  5. Step 5: Solve for x
    x = 2,205,218,120.06/31,924.13
  6. Step 6: Final answer
    x = 69,076.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.