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Finding the Third Proportional to 24,135 and 38,307

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Solution

The third proportional to 24,135 and 38,307 is: 60,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,135 : 38,307 = 38,307 : x
  2. Step 2: Convert to fraction form
    24,135/38,307 = 38,307/x
  3. Step 3: Cross multiply
    24,135x = 38,307 × 38,307
  4. Step 4: Simplify right side
    24,135x = 1,467,426,249
  5. Step 5: Solve for x
    x = 1,467,426,249/24,135
  6. Step 6: Final answer
    x = 60,800.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.