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Finding the Third Proportional to 31,223.25 and 47,878.88

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Solution

The third proportional to 31,223.25 and 47,878.88 is: 73,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,223.25 : 47,878.88 = 47,878.88 : x
  2. Step 2: Convert to fraction form
    31,223.25/47,878.88 = 47,878.88/x
  3. Step 3: Cross multiply
    31,223.25x = 47,878.88 × 47,878.88
  4. Step 4: Simplify right side
    31,223.25x = 2,292,386,671.27
  5. Step 5: Solve for x
    x = 2,292,386,671.27/31,223.25
  6. Step 6: Final answer
    x = 73,419.22

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.