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Finding the Third Proportional to 31,951.13 and 49,612.50

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Solution

The third proportional to 31,951.13 and 49,612.50 is: 77,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.13 : 49,612.50 = 49,612.50 : x
  2. Step 2: Convert to fraction form
    31,951.13/49,612.50 = 49,612.50/x
  3. Step 3: Cross multiply
    31,951.13x = 49,612.50 × 49,612.50
  4. Step 4: Simplify right side
    31,951.13x = 2,461,400,156.25
  5. Step 5: Solve for x
    x = 2,461,400,156.25/31,951.13
  6. Step 6: Final answer
    x = 77,036.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.