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Finding the Third Proportional to 24,266 and 50,840

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Solution

The third proportional to 24,266 and 50,840 is: 106,515.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266 : 50,840 = 50,840 : x
  2. Step 2: Convert to fraction form
    24,266/50,840 = 50,840/x
  3. Step 3: Cross multiply
    24,266x = 50,840 × 50,840
  4. Step 4: Simplify right side
    24,266x = 2,584,705,600
  5. Step 5: Solve for x
    x = 2,584,705,600/24,266
  6. Step 6: Final answer
    x = 106,515.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.