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Finding the Third Proportional to 10,098.56 and 21,571.69

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Solution

The third proportional to 10,098.56 and 21,571.69 is: 46,079.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.56 : 21,571.69 = 21,571.69 : x
  2. Step 2: Convert to fraction form
    10,098.56/21,571.69 = 21,571.69/x
  3. Step 3: Cross multiply
    10,098.56x = 21,571.69 × 21,571.69
  4. Step 4: Simplify right side
    10,098.56x = 465,337,701.60
  5. Step 5: Solve for x
    x = 465,337,701.60/10,098.56
  6. Step 6: Final answer
    x = 46,079.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.