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Finding the Third Proportional to 35,642 and 54,363

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Solution

The third proportional to 35,642 and 54,363 is: 82,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642 : 54,363 = 54,363 : x
  2. Step 2: Convert to fraction form
    35,642/54,363 = 54,363/x
  3. Step 3: Cross multiply
    35,642x = 54,363 × 54,363
  4. Step 4: Simplify right side
    35,642x = 2,955,335,769
  5. Step 5: Solve for x
    x = 2,955,335,769/35,642
  6. Step 6: Final answer
    x = 82,917.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.