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Finding the Third Proportional to 4,977.70 and 6,646.43

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Solution

The third proportional to 4,977.70 and 6,646.43 is: 8,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.70 : 6,646.43 = 6,646.43 : x
  2. Step 2: Convert to fraction form
    4,977.70/6,646.43 = 6,646.43/x
  3. Step 3: Cross multiply
    4,977.70x = 6,646.43 × 6,646.43
  4. Step 4: Simplify right side
    4,977.70x = 44,175,027.59
  5. Step 5: Solve for x
    x = 44,175,027.59/4,977.70
  6. Step 6: Final answer
    x = 8,874.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.