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Finding the Third Proportional to 22,536.75 and 32,643.75

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Solution

The third proportional to 22,536.75 and 32,643.75 is: 47,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536.75 : 32,643.75 = 32,643.75 : x
  2. Step 2: Convert to fraction form
    22,536.75/32,643.75 = 32,643.75/x
  3. Step 3: Cross multiply
    22,536.75x = 32,643.75 × 32,643.75
  4. Step 4: Simplify right side
    22,536.75x = 1,065,614,414.06
  5. Step 5: Solve for x
    x = 1,065,614,414.06/22,536.75
  6. Step 6: Final answer
    x = 47,283.41

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.