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Finding the Third Proportional to 25,519 and 54,730

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Solution

The third proportional to 25,519 and 54,730 is: 117,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,519 : 54,730 = 54,730 : x
  2. Step 2: Convert to fraction form
    25,519/54,730 = 54,730/x
  3. Step 3: Cross multiply
    25,519x = 54,730 × 54,730
  4. Step 4: Simplify right side
    25,519x = 2,995,372,900
  5. Step 5: Solve for x
    x = 2,995,372,900/25,519
  6. Step 6: Final answer
    x = 117,378.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.