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Finding the Third Proportional to 4,977 and 7,924.50

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Solution

The third proportional to 4,977 and 7,924.50 is: 12,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 7,924.50 = 7,924.50 : x
  2. Step 2: Convert to fraction form
    4,977/7,924.50 = 7,924.50/x
  3. Step 3: Cross multiply
    4,977x = 7,924.50 × 7,924.50
  4. Step 4: Simplify right side
    4,977x = 62,797,700.25
  5. Step 5: Solve for x
    x = 62,797,700.25/4,977
  6. Step 6: Final answer
    x = 12,617.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.