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Finding the Third Proportional to 13,140 and 17,054

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Solution

The third proportional to 13,140 and 17,054 is: 22,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140 : 17,054 = 17,054 : x
  2. Step 2: Convert to fraction form
    13,140/17,054 = 17,054/x
  3. Step 3: Cross multiply
    13,140x = 17,054 × 17,054
  4. Step 4: Simplify right side
    13,140x = 290,838,916
  5. Step 5: Solve for x
    x = 290,838,916/13,140
  6. Step 6: Final answer
    x = 22,133.86

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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.