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Finding the Third Proportional to 27,307.88 and 36,678.75

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Solution

The third proportional to 27,307.88 and 36,678.75 is: 49,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.88 : 36,678.75 = 36,678.75 : x
  2. Step 2: Convert to fraction form
    27,307.88/36,678.75 = 36,678.75/x
  3. Step 3: Cross multiply
    27,307.88x = 36,678.75 × 36,678.75
  4. Step 4: Simplify right side
    27,307.88x = 1,345,330,701.56
  5. Step 5: Solve for x
    x = 1,345,330,701.56/27,307.88
  6. Step 6: Final answer
    x = 49,265.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.