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Finding the Third Proportional to 24,807 and 34,699

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Solution

The third proportional to 24,807 and 34,699 is: 48,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807 : 34,699 = 34,699 : x
  2. Step 2: Convert to fraction form
    24,807/34,699 = 34,699/x
  3. Step 3: Cross multiply
    24,807x = 34,699 × 34,699
  4. Step 4: Simplify right side
    24,807x = 1,204,020,601
  5. Step 5: Solve for x
    x = 1,204,020,601/24,807
  6. Step 6: Final answer
    x = 48,535.52

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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.