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Finding the Third Proportional to 25,300 and 55,442

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Solution

The third proportional to 25,300 and 55,442 is: 121,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300 : 55,442 = 55,442 : x
  2. Step 2: Convert to fraction form
    25,300/55,442 = 55,442/x
  3. Step 3: Cross multiply
    25,300x = 55,442 × 55,442
  4. Step 4: Simplify right side
    25,300x = 3,073,815,364
  5. Step 5: Solve for x
    x = 3,073,815,364/25,300
  6. Step 6: Final answer
    x = 121,494.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.