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Finding the Third Proportional to 24,071 and 35,379

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Solution

The third proportional to 24,071 and 35,379 is: 51,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071 : 35,379 = 35,379 : x
  2. Step 2: Convert to fraction form
    24,071/35,379 = 35,379/x
  3. Step 3: Cross multiply
    24,071x = 35,379 × 35,379
  4. Step 4: Simplify right side
    24,071x = 1,251,673,641
  5. Step 5: Solve for x
    x = 1,251,673,641/24,071
  6. Step 6: Final answer
    x = 51,999.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.