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Finding the Third Proportional to 38,365 and 83,704

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Solution

The third proportional to 38,365 and 83,704 is: 182,623.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,365 : 83,704 = 83,704 : x
  2. Step 2: Convert to fraction form
    38,365/83,704 = 83,704/x
  3. Step 3: Cross multiply
    38,365x = 83,704 × 83,704
  4. Step 4: Simplify right side
    38,365x = 7,006,359,616
  5. Step 5: Solve for x
    x = 7,006,359,616/38,365
  6. Step 6: Final answer
    x = 182,623.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.