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Finding the Third Proportional to 23,824.13 and 39,700.13

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Solution

The third proportional to 23,824.13 and 39,700.13 is: 66,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.13 : 39,700.13 = 39,700.13 : x
  2. Step 2: Convert to fraction form
    23,824.13/39,700.13 = 39,700.13/x
  3. Step 3: Cross multiply
    23,824.13x = 39,700.13 × 39,700.13
  4. Step 4: Simplify right side
    23,824.13x = 1,576,099,925.02
  5. Step 5: Solve for x
    x = 1,576,099,925.02/23,824.13
  6. Step 6: Final answer
    x = 66,155.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.