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Finding the Third Proportional to 9,292.85 and 13,247.30

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Solution

The third proportional to 9,292.85 and 13,247.30 is: 18,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.85 : 13,247.30 = 13,247.30 : x
  2. Step 2: Convert to fraction form
    9,292.85/13,247.30 = 13,247.30/x
  3. Step 3: Cross multiply
    9,292.85x = 13,247.30 × 13,247.30
  4. Step 4: Simplify right side
    9,292.85x = 175,490,874.49
  5. Step 5: Solve for x
    x = 175,490,874.49/9,292.85
  6. Step 6: Final answer
    x = 18,884.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.