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Finding the Third Proportional to 5,126.20 and 11,178.84

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Solution

The third proportional to 5,126.20 and 11,178.84 is: 24,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.20 : 11,178.84 = 11,178.84 : x
  2. Step 2: Convert to fraction form
    5,126.20/11,178.84 = 11,178.84/x
  3. Step 3: Cross multiply
    5,126.20x = 11,178.84 × 11,178.84
  4. Step 4: Simplify right side
    5,126.20x = 124,966,547.59
  5. Step 5: Solve for x
    x = 124,966,547.59/5,126.20
  6. Step 6: Final answer
    x = 24,377.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.