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Finding the Third Proportional to 27,307.13 and 42,317.44

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Solution

The third proportional to 27,307.13 and 42,317.44 is: 65,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 42,317.44 = 42,317.44 : x
  2. Step 2: Convert to fraction form
    27,307.13/42,317.44 = 42,317.44/x
  3. Step 3: Cross multiply
    27,307.13x = 42,317.44 × 42,317.44
  4. Step 4: Simplify right side
    27,307.13x = 1,790,765,516.57
  5. Step 5: Solve for x
    x = 1,790,765,516.57/27,307.13
  6. Step 6: Final answer
    x = 65,578.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.