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Finding the Third Proportional to 24,850 and 39,903

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Solution

The third proportional to 24,850 and 39,903 is: 64,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,850 : 39,903 = 39,903 : x
  2. Step 2: Convert to fraction form
    24,850/39,903 = 39,903/x
  3. Step 3: Cross multiply
    24,850x = 39,903 × 39,903
  4. Step 4: Simplify right side
    24,850x = 1,592,249,409
  5. Step 5: Solve for x
    x = 1,592,249,409/24,850
  6. Step 6: Final answer
    x = 64,074.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.