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Finding the Third Proportional to 13,158 and 17,071.88

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Solution

The third proportional to 13,158 and 17,071.88 is: 22,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158 : 17,071.88 = 17,071.88 : x
  2. Step 2: Convert to fraction form
    13,158/17,071.88 = 17,071.88/x
  3. Step 3: Cross multiply
    13,158x = 17,071.88 × 17,071.88
  4. Step 4: Simplify right side
    13,158x = 291,448,916.02
  5. Step 5: Solve for x
    x = 291,448,916.02/13,158
  6. Step 6: Final answer
    x = 22,149.94

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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.