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Finding the Third Proportional to 27,575.25 and 41,252.25

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Solution

The third proportional to 27,575.25 and 41,252.25 is: 61,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.25 : 41,252.25 = 41,252.25 : x
  2. Step 2: Convert to fraction form
    27,575.25/41,252.25 = 41,252.25/x
  3. Step 3: Cross multiply
    27,575.25x = 41,252.25 × 41,252.25
  4. Step 4: Simplify right side
    27,575.25x = 1,701,748,130.06
  5. Step 5: Solve for x
    x = 1,701,748,130.06/27,575.25
  6. Step 6: Final answer
    x = 61,712.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.