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Finding the Third Proportional to 36,070.88 and 78,780.38

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Solution

The third proportional to 36,070.88 and 78,780.38 is: 172,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,070.88 : 78,780.38 = 78,780.38 : x
  2. Step 2: Convert to fraction form
    36,070.88/78,780.38 = 78,780.38/x
  3. Step 3: Cross multiply
    36,070.88x = 78,780.38 × 78,780.38
  4. Step 4: Simplify right side
    36,070.88x = 6,206,347,485.14
  5. Step 5: Solve for x
    x = 6,206,347,485.14/36,070.88
  6. Step 6: Final answer
    x = 172,059.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.