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Finding the Third Proportional to 8,994.80 and 14,082.61

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Solution

The third proportional to 8,994.80 and 14,082.61 is: 22,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.80 : 14,082.61 = 14,082.61 : x
  2. Step 2: Convert to fraction form
    8,994.80/14,082.61 = 14,082.61/x
  3. Step 3: Cross multiply
    8,994.80x = 14,082.61 × 14,082.61
  4. Step 4: Simplify right side
    8,994.80x = 198,319,886.81
  5. Step 5: Solve for x
    x = 198,319,886.81/8,994.80
  6. Step 6: Final answer
    x = 22,048.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.