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Finding the Third Proportional to 27,152.30 and 41,284.27

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Solution

The third proportional to 27,152.30 and 41,284.27 is: 62,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,152.30 : 41,284.27 = 41,284.27 : x
  2. Step 2: Convert to fraction form
    27,152.30/41,284.27 = 41,284.27/x
  3. Step 3: Cross multiply
    27,152.30x = 41,284.27 × 41,284.27
  4. Step 4: Simplify right side
    27,152.30x = 1,704,390,588.20
  5. Step 5: Solve for x
    x = 1,704,390,588.20/27,152.30
  6. Step 6: Final answer
    x = 62,771.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.