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Finding the Third Proportional to 23,824.13 and 37,720.69

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Solution

The third proportional to 23,824.13 and 37,720.69 is: 59,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.13 : 37,720.69 = 37,720.69 : x
  2. Step 2: Convert to fraction form
    23,824.13/37,720.69 = 37,720.69/x
  3. Step 3: Cross multiply
    23,824.13x = 37,720.69 × 37,720.69
  4. Step 4: Simplify right side
    23,824.13x = 1,422,850,265.47
  5. Step 5: Solve for x
    x = 1,422,850,265.47/23,824.13
  6. Step 6: Final answer
    x = 59,723.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.