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Finding the Third Proportional to 24,298 and 31,905

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Solution

The third proportional to 24,298 and 31,905 is: 41,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298 : 31,905 = 31,905 : x
  2. Step 2: Convert to fraction form
    24,298/31,905 = 31,905/x
  3. Step 3: Cross multiply
    24,298x = 31,905 × 31,905
  4. Step 4: Simplify right side
    24,298x = 1,017,929,025
  5. Step 5: Solve for x
    x = 1,017,929,025/24,298
  6. Step 6: Final answer
    x = 41,893.53

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.