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Finding the Third Proportional to 30,187.69 and 65,561.91

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Solution

The third proportional to 30,187.69 and 65,561.91 is: 142,387.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.69 : 65,561.91 = 65,561.91 : x
  2. Step 2: Convert to fraction form
    30,187.69/65,561.91 = 65,561.91/x
  3. Step 3: Cross multiply
    30,187.69x = 65,561.91 × 65,561.91
  4. Step 4: Simplify right side
    30,187.69x = 4,298,363,551.13
  5. Step 5: Solve for x
    x = 4,298,363,551.13/30,187.69
  6. Step 6: Final answer
    x = 142,387.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.