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Finding the Third Proportional to 27,175.50 and 41,146.13

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Solution

The third proportional to 27,175.50 and 41,146.13 is: 62,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175.50 : 41,146.13 = 41,146.13 : x
  2. Step 2: Convert to fraction form
    27,175.50/41,146.13 = 41,146.13/x
  3. Step 3: Cross multiply
    27,175.50x = 41,146.13 × 41,146.13
  4. Step 4: Simplify right side
    27,175.50x = 1,693,003,602.52
  5. Step 5: Solve for x
    x = 1,693,003,602.52/27,175.50
  6. Step 6: Final answer
    x = 62,298.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.