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Finding the Third Proportional to 2,397.73 and 5,128.52

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Solution

The third proportional to 2,397.73 and 5,128.52 is: 10,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.73 : 5,128.52 = 5,128.52 : x
  2. Step 2: Convert to fraction form
    2,397.73/5,128.52 = 5,128.52/x
  3. Step 3: Cross multiply
    2,397.73x = 5,128.52 × 5,128.52
  4. Step 4: Simplify right side
    2,397.73x = 26,301,752.65
  5. Step 5: Solve for x
    x = 26,301,752.65/2,397.73
  6. Step 6: Final answer
    x = 10,969.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.