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Finding the Third Proportional to 9,320.25 and 13,853.25

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Solution

The third proportional to 9,320.25 and 13,853.25 is: 20,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.25 : 13,853.25 = 13,853.25 : x
  2. Step 2: Convert to fraction form
    9,320.25/13,853.25 = 13,853.25/x
  3. Step 3: Cross multiply
    9,320.25x = 13,853.25 × 13,853.25
  4. Step 4: Simplify right side
    9,320.25x = 191,912,535.56
  5. Step 5: Solve for x
    x = 191,912,535.56/9,320.25
  6. Step 6: Final answer
    x = 20,590.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.