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Finding the Third Proportional to 8,799 and 13,984.50

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Solution

The third proportional to 8,799 and 13,984.50 is: 22,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,799 : 13,984.50 = 13,984.50 : x
  2. Step 2: Convert to fraction form
    8,799/13,984.50 = 13,984.50/x
  3. Step 3: Cross multiply
    8,799x = 13,984.50 × 13,984.50
  4. Step 4: Simplify right side
    8,799x = 195,566,240.25
  5. Step 5: Solve for x
    x = 195,566,240.25/8,799
  6. Step 6: Final answer
    x = 22,225.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.