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Finding the Third Proportional to 24,787 and 35,521

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Solution

The third proportional to 24,787 and 35,521 is: 50,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787 : 35,521 = 35,521 : x
  2. Step 2: Convert to fraction form
    24,787/35,521 = 35,521/x
  3. Step 3: Cross multiply
    24,787x = 35,521 × 35,521
  4. Step 4: Simplify right side
    24,787x = 1,261,741,441
  5. Step 5: Solve for x
    x = 1,261,741,441/24,787
  6. Step 6: Final answer
    x = 50,903.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.