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Finding the Third Proportional to 27,575.44 and 31,402.69

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Solution

The third proportional to 27,575.44 and 31,402.69 is: 35,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,575.44 : 31,402.69 = 31,402.69 : x
  2. Step 2: Convert to fraction form
    27,575.44/31,402.69 = 31,402.69/x
  3. Step 3: Cross multiply
    27,575.44x = 31,402.69 × 31,402.69
  4. Step 4: Simplify right side
    27,575.44x = 986,128,782.22
  5. Step 5: Solve for x
    x = 986,128,782.22/27,575.44
  6. Step 6: Final answer
    x = 35,761.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.