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Finding the Third Proportional to 9,209.32 and 13,822.52

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Solution

The third proportional to 9,209.32 and 13,822.52 is: 20,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.32 : 13,822.52 = 13,822.52 : x
  2. Step 2: Convert to fraction form
    9,209.32/13,822.52 = 13,822.52/x
  3. Step 3: Cross multiply
    9,209.32x = 13,822.52 × 13,822.52
  4. Step 4: Simplify right side
    9,209.32x = 191,062,154.18
  5. Step 5: Solve for x
    x = 191,062,154.18/9,209.32
  6. Step 6: Final answer
    x = 20,746.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.