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Finding the Third Proportional to 54,613.50 and 73,786

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Solution

The third proportional to 54,613.50 and 73,786 is: 99,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,613.50 : 73,786 = 73,786 : x
  2. Step 2: Convert to fraction form
    54,613.50/73,786 = 73,786/x
  3. Step 3: Cross multiply
    54,613.50x = 73,786 × 73,786
  4. Step 4: Simplify right side
    54,613.50x = 5,444,373,796
  5. Step 5: Solve for x
    x = 5,444,373,796/54,613.50
  6. Step 6: Final answer
    x = 99,689.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.