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Finding the Third Proportional to 32,398 and 52,903

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Solution

The third proportional to 32,398 and 52,903 is: 86,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398 : 52,903 = 52,903 : x
  2. Step 2: Convert to fraction form
    32,398/52,903 = 52,903/x
  3. Step 3: Cross multiply
    32,398x = 52,903 × 52,903
  4. Step 4: Simplify right side
    32,398x = 2,798,727,409
  5. Step 5: Solve for x
    x = 2,798,727,409/32,398
  6. Step 6: Final answer
    x = 86,385.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.