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Finding the Third Proportional to 10,040.84 and 21,868.10

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Solution

The third proportional to 10,040.84 and 21,868.10 is: 47,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.84 : 21,868.10 = 21,868.10 : x
  2. Step 2: Convert to fraction form
    10,040.84/21,868.10 = 21,868.10/x
  3. Step 3: Cross multiply
    10,040.84x = 21,868.10 × 21,868.10
  4. Step 4: Simplify right side
    10,040.84x = 478,213,865.95
  5. Step 5: Solve for x
    x = 478,213,865.95/10,040.84
  6. Step 6: Final answer
    x = 47,626.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.