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Finding the Third Proportional to 4,927.88 and 7,801.88

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Solution

The third proportional to 4,927.88 and 7,801.88 is: 12,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.88 : 7,801.88 = 7,801.88 : x
  2. Step 2: Convert to fraction form
    4,927.88/7,801.88 = 7,801.88/x
  3. Step 3: Cross multiply
    4,927.88x = 7,801.88 × 7,801.88
  4. Step 4: Simplify right side
    4,927.88x = 60,869,253.52
  5. Step 5: Solve for x
    x = 60,869,253.52/4,927.88
  6. Step 6: Final answer
    x = 12,352.03

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Why These Related Problems?

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