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Finding the Third Proportional to 10,040.48 and 21,868.03

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Solution

The third proportional to 10,040.48 and 21,868.03 is: 47,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.48 : 21,868.03 = 21,868.03 : x
  2. Step 2: Convert to fraction form
    10,040.48/21,868.03 = 21,868.03/x
  3. Step 3: Cross multiply
    10,040.48x = 21,868.03 × 21,868.03
  4. Step 4: Simplify right side
    10,040.48x = 478,210,790.75
  5. Step 5: Solve for x
    x = 478,210,790.75/10,040.48
  6. Step 6: Final answer
    x = 47,628.26

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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.