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Finding the Third Proportional to 8,307 and 19,572.75

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Solution

The third proportional to 8,307 and 19,572.75 is: 46,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307 : 19,572.75 = 19,572.75 : x
  2. Step 2: Convert to fraction form
    8,307/19,572.75 = 19,572.75/x
  3. Step 3: Cross multiply
    8,307x = 19,572.75 × 19,572.75
  4. Step 4: Simplify right side
    8,307x = 383,092,542.56
  5. Step 5: Solve for x
    x = 383,092,542.56/8,307
  6. Step 6: Final answer
    x = 46,116.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.