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Finding the Third Proportional to 21,980.25 and 36,114.75

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Solution

The third proportional to 21,980.25 and 36,114.75 is: 59,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.25 : 36,114.75 = 36,114.75 : x
  2. Step 2: Convert to fraction form
    21,980.25/36,114.75 = 36,114.75/x
  3. Step 3: Cross multiply
    21,980.25x = 36,114.75 × 36,114.75
  4. Step 4: Simplify right side
    21,980.25x = 1,304,275,167.56
  5. Step 5: Solve for x
    x = 1,304,275,167.56/21,980.25
  6. Step 6: Final answer
    x = 59,338.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.