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Finding the Third Proportional to 18,522 and 36,111.75

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Solution

The third proportional to 18,522 and 36,111.75 is: 70,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 36,111.75 = 36,111.75 : x
  2. Step 2: Convert to fraction form
    18,522/36,111.75 = 36,111.75/x
  3. Step 3: Cross multiply
    18,522x = 36,111.75 × 36,111.75
  4. Step 4: Simplify right side
    18,522x = 1,304,058,488.06
  5. Step 5: Solve for x
    x = 1,304,058,488.06/18,522
  6. Step 6: Final answer
    x = 70,405.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.