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Finding the Third Proportional to 31,594 and 55,404

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Solution

The third proportional to 31,594 and 55,404 is: 97,157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594 : 55,404 = 55,404 : x
  2. Step 2: Convert to fraction form
    31,594/55,404 = 55,404/x
  3. Step 3: Cross multiply
    31,594x = 55,404 × 55,404
  4. Step 4: Simplify right side
    31,594x = 3,069,603,216
  5. Step 5: Solve for x
    x = 3,069,603,216/31,594
  6. Step 6: Final answer
    x = 97,157.79

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.