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Finding the Third Proportional to 24,751.50 and 35,266.50

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Solution

The third proportional to 24,751.50 and 35,266.50 is: 50,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.50 : 35,266.50 = 35,266.50 : x
  2. Step 2: Convert to fraction form
    24,751.50/35,266.50 = 35,266.50/x
  3. Step 3: Cross multiply
    24,751.50x = 35,266.50 × 35,266.50
  4. Step 4: Simplify right side
    24,751.50x = 1,243,726,022.25
  5. Step 5: Solve for x
    x = 1,243,726,022.25/24,751.50
  6. Step 6: Final answer
    x = 50,248.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.