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Finding the Third Proportional to 36,148.78 and 75,570.47

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Solution

The third proportional to 36,148.78 and 75,570.47 is: 157,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.78 : 75,570.47 = 75,570.47 : x
  2. Step 2: Convert to fraction form
    36,148.78/75,570.47 = 75,570.47/x
  3. Step 3: Cross multiply
    36,148.78x = 75,570.47 × 75,570.47
  4. Step 4: Simplify right side
    36,148.78x = 5,710,895,747.09
  5. Step 5: Solve for x
    x = 5,710,895,747.09/36,148.78
  6. Step 6: Final answer
    x = 157,983.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.