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Finding the Third Proportional to 21,754 and 28,924

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Solution

The third proportional to 21,754 and 28,924 is: 38,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754 : 28,924 = 28,924 : x
  2. Step 2: Convert to fraction form
    21,754/28,924 = 28,924/x
  3. Step 3: Cross multiply
    21,754x = 28,924 × 28,924
  4. Step 4: Simplify right side
    21,754x = 836,597,776
  5. Step 5: Solve for x
    x = 836,597,776/21,754
  6. Step 6: Final answer
    x = 38,457.19

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.