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Finding the Third Proportional to 24,532 and 52,840

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Solution

The third proportional to 24,532 and 52,840 is: 113,813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532 : 52,840 = 52,840 : x
  2. Step 2: Convert to fraction form
    24,532/52,840 = 52,840/x
  3. Step 3: Cross multiply
    24,532x = 52,840 × 52,840
  4. Step 4: Simplify right side
    24,532x = 2,792,065,600
  5. Step 5: Solve for x
    x = 2,792,065,600/24,532
  6. Step 6: Final answer
    x = 113,813.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.