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Finding the Third Proportional to 27,137.25 and 41,248.13

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Solution

The third proportional to 27,137.25 and 41,248.13 is: 62,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.25 : 41,248.13 = 41,248.13 : x
  2. Step 2: Convert to fraction form
    27,137.25/41,248.13 = 41,248.13/x
  3. Step 3: Cross multiply
    27,137.25x = 41,248.13 × 41,248.13
  4. Step 4: Simplify right side
    27,137.25x = 1,701,407,816.02
  5. Step 5: Solve for x
    x = 1,701,407,816.02/27,137.25
  6. Step 6: Final answer
    x = 62,696.40

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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.