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Finding the Third Proportional to 7,029.28 and 15,250.78

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Solution

The third proportional to 7,029.28 and 15,250.78 is: 33,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.28 : 15,250.78 = 15,250.78 : x
  2. Step 2: Convert to fraction form
    7,029.28/15,250.78 = 15,250.78/x
  3. Step 3: Cross multiply
    7,029.28x = 15,250.78 × 15,250.78
  4. Step 4: Simplify right side
    7,029.28x = 232,586,328.74
  5. Step 5: Solve for x
    x = 232,586,328.74/7,029.28
  6. Step 6: Final answer
    x = 33,088.21

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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.