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Finding the Third Proportional to 13,110.19 and 15,175.69

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Solution

The third proportional to 13,110.19 and 15,175.69 is: 17,566.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.19 : 15,175.69 = 15,175.69 : x
  2. Step 2: Convert to fraction form
    13,110.19/15,175.69 = 15,175.69/x
  3. Step 3: Cross multiply
    13,110.19x = 15,175.69 × 15,175.69
  4. Step 4: Simplify right side
    13,110.19x = 230,301,491.10
  5. Step 5: Solve for x
    x = 230,301,491.10/13,110.19
  6. Step 6: Final answer
    x = 17,566.61

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.