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Finding the Third Proportional to 39,653 and 54,010

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Solution

The third proportional to 39,653 and 54,010 is: 73,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653 : 54,010 = 54,010 : x
  2. Step 2: Convert to fraction form
    39,653/54,010 = 54,010/x
  3. Step 3: Cross multiply
    39,653x = 54,010 × 54,010
  4. Step 4: Simplify right side
    39,653x = 2,917,080,100
  5. Step 5: Solve for x
    x = 2,917,080,100/39,653
  6. Step 6: Final answer
    x = 73,565.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.