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Finding the Third Proportional to 13,931 and 21,580

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Solution

The third proportional to 13,931 and 21,580 is: 33,428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931 : 21,580 = 21,580 : x
  2. Step 2: Convert to fraction form
    13,931/21,580 = 21,580/x
  3. Step 3: Cross multiply
    13,931x = 21,580 × 21,580
  4. Step 4: Simplify right side
    13,931x = 465,696,400
  5. Step 5: Solve for x
    x = 465,696,400/13,931
  6. Step 6: Final answer
    x = 33,428.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.