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Finding the Third Proportional to 31,411.75 and 48,575.75

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Solution

The third proportional to 31,411.75 and 48,575.75 is: 75,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.75 : 48,575.75 = 48,575.75 : x
  2. Step 2: Convert to fraction form
    31,411.75/48,575.75 = 48,575.75/x
  3. Step 3: Cross multiply
    31,411.75x = 48,575.75 × 48,575.75
  4. Step 4: Simplify right side
    31,411.75x = 2,359,603,488.06
  5. Step 5: Solve for x
    x = 2,359,603,488.06/31,411.75
  6. Step 6: Final answer
    x = 75,118.50

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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.