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Finding the Third Proportional to 25,492 and 55,909

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Solution

The third proportional to 25,492 and 55,909 is: 122,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492 : 55,909 = 55,909 : x
  2. Step 2: Convert to fraction form
    25,492/55,909 = 55,909/x
  3. Step 3: Cross multiply
    25,492x = 55,909 × 55,909
  4. Step 4: Simplify right side
    25,492x = 3,125,816,281
  5. Step 5: Solve for x
    x = 3,125,816,281/25,492
  6. Step 6: Final answer
    x = 122,619.50

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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.