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Finding the Third Proportional to 24,058.50 and 35,358.75

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Solution

The third proportional to 24,058.50 and 35,358.75 is: 51,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,058.50 : 35,358.75 = 35,358.75 : x
  2. Step 2: Convert to fraction form
    24,058.50/35,358.75 = 35,358.75/x
  3. Step 3: Cross multiply
    24,058.50x = 35,358.75 × 35,358.75
  4. Step 4: Simplify right side
    24,058.50x = 1,250,241,201.56
  5. Step 5: Solve for x
    x = 1,250,241,201.56/24,058.50
  6. Step 6: Final answer
    x = 51,966.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.