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Finding the Third Proportional to 21,583.13 and 24,711.75

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Solution

The third proportional to 21,583.13 and 24,711.75 is: 28,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583.13 : 24,711.75 = 24,711.75 : x
  2. Step 2: Convert to fraction form
    21,583.13/24,711.75 = 24,711.75/x
  3. Step 3: Cross multiply
    21,583.13x = 24,711.75 × 24,711.75
  4. Step 4: Simplify right side
    21,583.13x = 610,670,588.06
  5. Step 5: Solve for x
    x = 610,670,588.06/21,583.13
  6. Step 6: Final answer
    x = 28,293.89

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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.