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Finding the Third Proportional to 24,084 and 51,489

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Solution

The third proportional to 24,084 and 51,489 is: 110,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,084 : 51,489 = 51,489 : x
  2. Step 2: Convert to fraction form
    24,084/51,489 = 51,489/x
  3. Step 3: Cross multiply
    24,084x = 51,489 × 51,489
  4. Step 4: Simplify right side
    24,084x = 2,651,117,121
  5. Step 5: Solve for x
    x = 2,651,117,121/24,084
  6. Step 6: Final answer
    x = 110,077.94

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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.