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Finding the Third Proportional to 8,782 and 19,650

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Solution

The third proportional to 8,782 and 19,650 is: 43,967.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782 : 19,650 = 19,650 : x
  2. Step 2: Convert to fraction form
    8,782/19,650 = 19,650/x
  3. Step 3: Cross multiply
    8,782x = 19,650 × 19,650
  4. Step 4: Simplify right side
    8,782x = 386,122,500
  5. Step 5: Solve for x
    x = 386,122,500/8,782
  6. Step 6: Final answer
    x = 43,967.49

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.