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Finding the Third Proportional to 22,675 and 35,750.50

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Solution

The third proportional to 22,675 and 35,750.50 is: 56,365.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675 : 35,750.50 = 35,750.50 : x
  2. Step 2: Convert to fraction form
    22,675/35,750.50 = 35,750.50/x
  3. Step 3: Cross multiply
    22,675x = 35,750.50 × 35,750.50
  4. Step 4: Simplify right side
    22,675x = 1,278,098,250.25
  5. Step 5: Solve for x
    x = 1,278,098,250.25/22,675
  6. Step 6: Final answer
    x = 56,365.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.