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Finding the Third Proportional to 5,073.75 and 10,549.13

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Solution

The third proportional to 5,073.75 and 10,549.13 is: 21,933.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,073.75 : 10,549.13 = 10,549.13 : x
  2. Step 2: Convert to fraction form
    5,073.75/10,549.13 = 10,549.13/x
  3. Step 3: Cross multiply
    5,073.75x = 10,549.13 × 10,549.13
  4. Step 4: Simplify right side
    5,073.75x = 111,284,038.27
  5. Step 5: Solve for x
    x = 111,284,038.27/5,073.75
  6. Step 6: Final answer
    x = 21,933.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.