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Finding the Third Proportional to 24,878 and 34,797

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Solution

The third proportional to 24,878 and 34,797 is: 48,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878 : 34,797 = 34,797 : x
  2. Step 2: Convert to fraction form
    24,878/34,797 = 34,797/x
  3. Step 3: Cross multiply
    24,878x = 34,797 × 34,797
  4. Step 4: Simplify right side
    24,878x = 1,210,831,209
  5. Step 5: Solve for x
    x = 1,210,831,209/24,878
  6. Step 6: Final answer
    x = 48,670.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.