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Finding the Third Proportional to 25,492 and 55,591

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Solution

The third proportional to 25,492 and 55,591 is: 121,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492 : 55,591 = 55,591 : x
  2. Step 2: Convert to fraction form
    25,492/55,591 = 55,591/x
  3. Step 3: Cross multiply
    25,492x = 55,591 × 55,591
  4. Step 4: Simplify right side
    25,492x = 3,090,359,281
  5. Step 5: Solve for x
    x = 3,090,359,281/25,492
  6. Step 6: Final answer
    x = 121,228.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.