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Finding the Third Proportional to 16,455.75 and 24,829.25

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Solution

The third proportional to 16,455.75 and 24,829.25 is: 37,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.75 : 24,829.25 = 24,829.25 : x
  2. Step 2: Convert to fraction form
    16,455.75/24,829.25 = 24,829.25/x
  3. Step 3: Cross multiply
    16,455.75x = 24,829.25 × 24,829.25
  4. Step 4: Simplify right side
    16,455.75x = 616,491,655.56
  5. Step 5: Solve for x
    x = 616,491,655.56/16,455.75
  6. Step 6: Final answer
    x = 37,463.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.