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Finding the Third Proportional to 54,518 and 73,637

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Solution

The third proportional to 54,518 and 73,637 is: 99,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,518 : 73,637 = 73,637 : x
  2. Step 2: Convert to fraction form
    54,518/73,637 = 73,637/x
  3. Step 3: Cross multiply
    54,518x = 73,637 × 73,637
  4. Step 4: Simplify right side
    54,518x = 5,422,407,769
  5. Step 5: Solve for x
    x = 5,422,407,769/54,518
  6. Step 6: Final answer
    x = 99,460.87

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Why These Related Problems?

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