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Finding the Third Proportional to 9,052.70 and 13,989.11

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Solution

The third proportional to 9,052.70 and 13,989.11 is: 21,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.70 : 13,989.11 = 13,989.11 : x
  2. Step 2: Convert to fraction form
    9,052.70/13,989.11 = 13,989.11/x
  3. Step 3: Cross multiply
    9,052.70x = 13,989.11 × 13,989.11
  4. Step 4: Simplify right side
    9,052.70x = 195,695,235.75
  5. Step 5: Solve for x
    x = 195,695,235.75/9,052.70
  6. Step 6: Final answer
    x = 21,617.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.