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Finding the Third Proportional to 3,250.13 and 7,038.56

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Solution

The third proportional to 3,250.13 and 7,038.56 is: 15,242.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.13 : 7,038.56 = 7,038.56 : x
  2. Step 2: Convert to fraction form
    3,250.13/7,038.56 = 7,038.56/x
  3. Step 3: Cross multiply
    3,250.13x = 7,038.56 × 7,038.56
  4. Step 4: Simplify right side
    3,250.13x = 49,541,362.07
  5. Step 5: Solve for x
    x = 49,541,362.07/3,250.13
  6. Step 6: Final answer
    x = 15,242.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.