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Finding the Third Proportional to 24,070.66 and 51,947.18

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Solution

The third proportional to 24,070.66 and 51,947.18 is: 112,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070.66 : 51,947.18 = 51,947.18 : x
  2. Step 2: Convert to fraction form
    24,070.66/51,947.18 = 51,947.18/x
  3. Step 3: Cross multiply
    24,070.66x = 51,947.18 × 51,947.18
  4. Step 4: Simplify right side
    24,070.66x = 2,698,509,781.86
  5. Step 5: Solve for x
    x = 2,698,509,781.86/24,070.66
  6. Step 6: Final answer
    x = 112,107.85

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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.