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Finding the Third Proportional to 36,348.75 and 77,101.88

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Solution

The third proportional to 36,348.75 and 77,101.88 is: 163,546.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,348.75 : 77,101.88 = 77,101.88 : x
  2. Step 2: Convert to fraction form
    36,348.75/77,101.88 = 77,101.88/x
  3. Step 3: Cross multiply
    36,348.75x = 77,101.88 × 77,101.88
  4. Step 4: Simplify right side
    36,348.75x = 5,944,699,128.52
  5. Step 5: Solve for x
    x = 5,944,699,128.52/36,348.75
  6. Step 6: Final answer
    x = 163,546.18

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.