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Finding the Third Proportional to 36,306.56 and 78,348.94

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Solution

The third proportional to 36,306.56 and 78,348.94 is: 169,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,306.56 : 78,348.94 = 78,348.94 : x
  2. Step 2: Convert to fraction form
    36,306.56/78,348.94 = 78,348.94/x
  3. Step 3: Cross multiply
    36,306.56x = 78,348.94 × 78,348.94
  4. Step 4: Simplify right side
    36,306.56x = 6,138,556,007.38
  5. Step 5: Solve for x
    x = 6,138,556,007.38/36,306.56
  6. Step 6: Final answer
    x = 169,075.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.