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Finding the Third Proportional to 16,307.25 and 24,497.25

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Solution

The third proportional to 16,307.25 and 24,497.25 is: 36,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.25 : 24,497.25 = 24,497.25 : x
  2. Step 2: Convert to fraction form
    16,307.25/24,497.25 = 24,497.25/x
  3. Step 3: Cross multiply
    16,307.25x = 24,497.25 × 24,497.25
  4. Step 4: Simplify right side
    16,307.25x = 600,115,257.56
  5. Step 5: Solve for x
    x = 600,115,257.56/16,307.25
  6. Step 6: Final answer
    x = 36,800.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.