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Finding the Third Proportional to 10,189.13 and 13,258.69

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Solution

The third proportional to 10,189.13 and 13,258.69 is: 17,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.13 : 13,258.69 = 13,258.69 : x
  2. Step 2: Convert to fraction form
    10,189.13/13,258.69 = 13,258.69/x
  3. Step 3: Cross multiply
    10,189.13x = 13,258.69 × 13,258.69
  4. Step 4: Simplify right side
    10,189.13x = 175,792,794.22
  5. Step 5: Solve for x
    x = 175,792,794.22/10,189.13
  6. Step 6: Final answer
    x = 17,252.98

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.