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Finding the Third Proportional to 13,258.69 and 19,922.20

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Solution

The third proportional to 13,258.69 and 19,922.20 is: 29,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 19,922.20 = 19,922.20 : x
  2. Step 2: Convert to fraction form
    13,258.69/19,922.20 = 19,922.20/x
  3. Step 3: Cross multiply
    13,258.69x = 19,922.20 × 19,922.20
  4. Step 4: Simplify right side
    13,258.69x = 396,894,177.35
  5. Step 5: Solve for x
    x = 396,894,177.35/13,258.69
  6. Step 6: Final answer
    x = 29,934.65

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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.