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Finding the Third Proportional to 54,042.35 and 76,984.25

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Solution

The third proportional to 54,042.35 and 76,984.25 is: 109,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,042.35 : 76,984.25 = 76,984.25 : x
  2. Step 2: Convert to fraction form
    54,042.35/76,984.25 = 76,984.25/x
  3. Step 3: Cross multiply
    54,042.35x = 76,984.25 × 76,984.25
  4. Step 4: Simplify right side
    54,042.35x = 5,926,574,898.42
  5. Step 5: Solve for x
    x = 5,926,574,898.42/54,042.35
  6. Step 6: Final answer
    x = 109,665.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.