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Finding the Third Proportional to 36,235.13 and 77,827.13

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Solution

The third proportional to 36,235.13 and 77,827.13 is: 167,159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,235.13 : 77,827.13 = 77,827.13 : x
  2. Step 2: Convert to fraction form
    36,235.13/77,827.13 = 77,827.13/x
  3. Step 3: Cross multiply
    36,235.13x = 77,827.13 × 77,827.13
  4. Step 4: Simplify right side
    36,235.13x = 6,057,061,385.77
  5. Step 5: Solve for x
    x = 6,057,061,385.77/36,235.13
  6. Step 6: Final answer
    x = 167,159.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.