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Finding the Third Proportional to 15,693.75 and 28,648.69

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Solution

The third proportional to 15,693.75 and 28,648.69 is: 52,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693.75 : 28,648.69 = 28,648.69 : x
  2. Step 2: Convert to fraction form
    15,693.75/28,648.69 = 28,648.69/x
  3. Step 3: Cross multiply
    15,693.75x = 28,648.69 × 28,648.69
  4. Step 4: Simplify right side
    15,693.75x = 820,747,295.47
  5. Step 5: Solve for x
    x = 820,747,295.47/15,693.75
  6. Step 6: Final answer
    x = 52,297.72

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.