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Finding the Third Proportional to 27,145.13 and 36,495.56

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Solution

The third proportional to 27,145.13 and 36,495.56 is: 49,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.13 : 36,495.56 = 36,495.56 : x
  2. Step 2: Convert to fraction form
    27,145.13/36,495.56 = 36,495.56/x
  3. Step 3: Cross multiply
    27,145.13x = 36,495.56 × 36,495.56
  4. Step 4: Simplify right side
    27,145.13x = 1,331,926,082.19
  5. Step 5: Solve for x
    x = 1,331,926,082.19/27,145.13
  6. Step 6: Final answer
    x = 49,066.86

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.