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Finding the Third Proportional to 36,148.13 and 54,009.38

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Solution

The third proportional to 36,148.13 and 54,009.38 is: 80,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.13 : 54,009.38 = 54,009.38 : x
  2. Step 2: Convert to fraction form
    36,148.13/54,009.38 = 54,009.38/x
  3. Step 3: Cross multiply
    36,148.13x = 54,009.38 × 54,009.38
  4. Step 4: Simplify right side
    36,148.13x = 2,917,012,587.89
  5. Step 5: Solve for x
    x = 2,917,012,587.89/36,148.13
  6. Step 6: Final answer
    x = 80,696.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.