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Finding the Third Proportional to 17,160 and 25,921

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Solution

The third proportional to 17,160 and 25,921 is: 39,154.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,160 : 25,921 = 25,921 : x
  2. Step 2: Convert to fraction form
    17,160/25,921 = 25,921/x
  3. Step 3: Cross multiply
    17,160x = 25,921 × 25,921
  4. Step 4: Simplify right side
    17,160x = 671,898,241
  5. Step 5: Solve for x
    x = 671,898,241/17,160
  6. Step 6: Final answer
    x = 39,154.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.