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Finding the Third Proportional to 16,064.25 and 24,720.75

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Solution

The third proportional to 16,064.25 and 24,720.75 is: 38,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.25 : 24,720.75 = 24,720.75 : x
  2. Step 2: Convert to fraction form
    16,064.25/24,720.75 = 24,720.75/x
  3. Step 3: Cross multiply
    16,064.25x = 24,720.75 × 24,720.75
  4. Step 4: Simplify right side
    16,064.25x = 611,115,480.56
  5. Step 5: Solve for x
    x = 611,115,480.56/16,064.25
  6. Step 6: Final answer
    x = 38,041.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.