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Finding the Third Proportional to 13,407.75 and 28,596.38

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Solution

The third proportional to 13,407.75 and 28,596.38 is: 60,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.75 : 28,596.38 = 28,596.38 : x
  2. Step 2: Convert to fraction form
    13,407.75/28,596.38 = 28,596.38/x
  3. Step 3: Cross multiply
    13,407.75x = 28,596.38 × 28,596.38
  4. Step 4: Simplify right side
    13,407.75x = 817,752,663.14
  5. Step 5: Solve for x
    x = 817,752,663.14/13,407.75
  6. Step 6: Final answer
    x = 60,991.04

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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.