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Finding the Third Proportional to 7,053.38 and 15,012.38

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Solution

The third proportional to 7,053.38 and 15,012.38 is: 31,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.38 : 15,012.38 = 15,012.38 : x
  2. Step 2: Convert to fraction form
    7,053.38/15,012.38 = 15,012.38/x
  3. Step 3: Cross multiply
    7,053.38x = 15,012.38 × 15,012.38
  4. Step 4: Simplify right side
    7,053.38x = 225,371,403.14
  5. Step 5: Solve for x
    x = 225,371,403.14/7,053.38
  6. Step 6: Final answer
    x = 31,952.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.