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Finding the Third Proportional to 38,637 and 83,102.63

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Solution

The third proportional to 38,637 and 83,102.63 is: 178,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,637 : 83,102.63 = 83,102.63 : x
  2. Step 2: Convert to fraction form
    38,637/83,102.63 = 83,102.63/x
  3. Step 3: Cross multiply
    38,637x = 83,102.63 × 83,102.63
  4. Step 4: Simplify right side
    38,637x = 6,906,046,281.89
  5. Step 5: Solve for x
    x = 6,906,046,281.89/38,637
  6. Step 6: Final answer
    x = 178,741.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.