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Finding the Third Proportional to 18,396 and 39,903

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Solution

The third proportional to 18,396 and 39,903 is: 86,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,396 : 39,903 = 39,903 : x
  2. Step 2: Convert to fraction form
    18,396/39,903 = 39,903/x
  3. Step 3: Cross multiply
    18,396x = 39,903 × 39,903
  4. Step 4: Simplify right side
    18,396x = 1,592,249,409
  5. Step 5: Solve for x
    x = 1,592,249,409/18,396
  6. Step 6: Final answer
    x = 86,554.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.