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Finding the Third Proportional to 36,292.50 and 75,911.63

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Solution

The third proportional to 36,292.50 and 75,911.63 is: 158,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,292.50 : 75,911.63 = 75,911.63 : x
  2. Step 2: Convert to fraction form
    36,292.50/75,911.63 = 75,911.63/x
  3. Step 3: Cross multiply
    36,292.50x = 75,911.63 × 75,911.63
  4. Step 4: Simplify right side
    36,292.50x = 5,762,574,810.14
  5. Step 5: Solve for x
    x = 5,762,574,810.14/36,292.50
  6. Step 6: Final answer
    x = 158,781.42

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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.