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Finding the Third Proportional to 8,562 and 20,607

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Solution

The third proportional to 8,562 and 20,607 is: 49,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562 : 20,607 = 20,607 : x
  2. Step 2: Convert to fraction form
    8,562/20,607 = 20,607/x
  3. Step 3: Cross multiply
    8,562x = 20,607 × 20,607
  4. Step 4: Simplify right side
    8,562x = 424,648,449
  5. Step 5: Solve for x
    x = 424,648,449/8,562
  6. Step 6: Final answer
    x = 49,596.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.