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Finding the Third Proportional to 11,307.66 and 24,711.19

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Solution

The third proportional to 11,307.66 and 24,711.19 is: 54,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.66 : 24,711.19 = 24,711.19 : x
  2. Step 2: Convert to fraction form
    11,307.66/24,711.19 = 24,711.19/x
  3. Step 3: Cross multiply
    11,307.66x = 24,711.19 × 24,711.19
  4. Step 4: Simplify right side
    11,307.66x = 610,642,787.66
  5. Step 5: Solve for x
    x = 610,642,787.66/11,307.66
  6. Step 6: Final answer
    x = 54,002.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.