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Finding the Third Proportional to 18,132 and 25,534.50

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Solution

The third proportional to 18,132 and 25,534.50 is: 35,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,132 : 25,534.50 = 25,534.50 : x
  2. Step 2: Convert to fraction form
    18,132/25,534.50 = 25,534.50/x
  3. Step 3: Cross multiply
    18,132x = 25,534.50 × 25,534.50
  4. Step 4: Simplify right side
    18,132x = 652,010,690.25
  5. Step 5: Solve for x
    x = 652,010,690.25/18,132
  6. Step 6: Final answer
    x = 35,959.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.