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Finding the Third Proportional to 4,915.88 and 7,787.72

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Solution

The third proportional to 4,915.88 and 7,787.72 is: 12,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.88 : 7,787.72 = 7,787.72 : x
  2. Step 2: Convert to fraction form
    4,915.88/7,787.72 = 7,787.72/x
  3. Step 3: Cross multiply
    4,915.88x = 7,787.72 × 7,787.72
  4. Step 4: Simplify right side
    4,915.88x = 60,648,563.33
  5. Step 5: Solve for x
    x = 60,648,563.33/4,915.88
  6. Step 6: Final answer
    x = 12,337.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.