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Finding the Third Proportional to 24,750.56 and 38,343.38

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Solution

The third proportional to 24,750.56 and 38,343.38 is: 59,401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750.56 : 38,343.38 = 38,343.38 : x
  2. Step 2: Convert to fraction form
    24,750.56/38,343.38 = 38,343.38/x
  3. Step 3: Cross multiply
    24,750.56x = 38,343.38 × 38,343.38
  4. Step 4: Simplify right side
    24,750.56x = 1,470,214,406.39
  5. Step 5: Solve for x
    x = 1,470,214,406.39/24,750.56
  6. Step 6: Final answer
    x = 59,401.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.