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Finding the Third Proportional to 24,783 and 35,329

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Solution

The third proportional to 24,783 and 35,329 is: 50,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783 : 35,329 = 35,329 : x
  2. Step 2: Convert to fraction form
    24,783/35,329 = 35,329/x
  3. Step 3: Cross multiply
    24,783x = 35,329 × 35,329
  4. Step 4: Simplify right side
    24,783x = 1,248,138,241
  5. Step 5: Solve for x
    x = 1,248,138,241/24,783
  6. Step 6: Final answer
    x = 50,362.68

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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.