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Finding the Third Proportional to 13,258.69 and 18,259.17

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Solution

The third proportional to 13,258.69 and 18,259.17 is: 25,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.69 : 18,259.17 = 18,259.17 : x
  2. Step 2: Convert to fraction form
    13,258.69/18,259.17 = 18,259.17/x
  3. Step 3: Cross multiply
    13,258.69x = 18,259.17 × 18,259.17
  4. Step 4: Simplify right side
    13,258.69x = 333,397,357.56
  5. Step 5: Solve for x
    x = 333,397,357.56/13,258.69
  6. Step 6: Final answer
    x = 25,145.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.