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Finding the Third Proportional to 24,765.19 and 53,380.69

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Solution

The third proportional to 24,765.19 and 53,380.69 is: 115,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.19 : 53,380.69 = 53,380.69 : x
  2. Step 2: Convert to fraction form
    24,765.19/53,380.69 = 53,380.69/x
  3. Step 3: Cross multiply
    24,765.19x = 53,380.69 × 53,380.69
  4. Step 4: Simplify right side
    24,765.19x = 2,849,497,797.97
  5. Step 5: Solve for x
    x = 2,849,497,797.97/24,765.19
  6. Step 6: Final answer
    x = 115,060.62

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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.