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Finding the Third Proportional to 13,284 and 15,167.25

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Solution

The third proportional to 13,284 and 15,167.25 is: 17,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 15,167.25 = 15,167.25 : x
  2. Step 2: Convert to fraction form
    13,284/15,167.25 = 15,167.25/x
  3. Step 3: Cross multiply
    13,284x = 15,167.25 × 15,167.25
  4. Step 4: Simplify right side
    13,284x = 230,045,472.56
  5. Step 5: Solve for x
    x = 230,045,472.56/13,284
  6. Step 6: Final answer
    x = 17,317.49

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.