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Finding the Third Proportional to 24,743 and 51,915.50

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Solution

The third proportional to 24,743 and 51,915.50 is: 108,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,743 : 51,915.50 = 51,915.50 : x
  2. Step 2: Convert to fraction form
    24,743/51,915.50 = 51,915.50/x
  3. Step 3: Cross multiply
    24,743x = 51,915.50 × 51,915.50
  4. Step 4: Simplify right side
    24,743x = 2,695,219,140.25
  5. Step 5: Solve for x
    x = 2,695,219,140.25/24,743
  6. Step 6: Final answer
    x = 108,928.55

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