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Finding the Third Proportional to 25,491 and 55,082

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Solution

The third proportional to 25,491 and 55,082 is: 119,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,491 : 55,082 = 55,082 : x
  2. Step 2: Convert to fraction form
    25,491/55,082 = 55,082/x
  3. Step 3: Cross multiply
    25,491x = 55,082 × 55,082
  4. Step 4: Simplify right side
    25,491x = 3,034,026,724
  5. Step 5: Solve for x
    x = 3,034,026,724/25,491
  6. Step 6: Final answer
    x = 119,023.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.