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Finding the Third Proportional to 25,341 and 54,572

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Solution

The third proportional to 25,341 and 54,572 is: 117,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341 : 54,572 = 54,572 : x
  2. Step 2: Convert to fraction form
    25,341/54,572 = 54,572/x
  3. Step 3: Cross multiply
    25,341x = 54,572 × 54,572
  4. Step 4: Simplify right side
    25,341x = 2,978,103,184
  5. Step 5: Solve for x
    x = 2,978,103,184/25,341
  6. Step 6: Final answer
    x = 117,521.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.