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Finding the Third Proportional to 24,998 and 34,833

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Solution

The third proportional to 24,998 and 34,833 is: 48,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,998 : 34,833 = 34,833 : x
  2. Step 2: Convert to fraction form
    24,998/34,833 = 34,833/x
  3. Step 3: Cross multiply
    24,998x = 34,833 × 34,833
  4. Step 4: Simplify right side
    24,998x = 1,213,337,889
  5. Step 5: Solve for x
    x = 1,213,337,889/24,998
  6. Step 6: Final answer
    x = 48,537.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.