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Finding the Third Proportional to 8,661 and 13,948.50

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Solution

The third proportional to 8,661 and 13,948.50 is: 22,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661 : 13,948.50 = 13,948.50 : x
  2. Step 2: Convert to fraction form
    8,661/13,948.50 = 13,948.50/x
  3. Step 3: Cross multiply
    8,661x = 13,948.50 × 13,948.50
  4. Step 4: Simplify right side
    8,661x = 194,560,652.25
  5. Step 5: Solve for x
    x = 194,560,652.25/8,661
  6. Step 6: Final answer
    x = 22,463.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.