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Finding the Third Proportional to 4,977 and 6,734.25

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Solution

The third proportional to 4,977 and 6,734.25 is: 9,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 6,734.25 = 6,734.25 : x
  2. Step 2: Convert to fraction form
    4,977/6,734.25 = 6,734.25/x
  3. Step 3: Cross multiply
    4,977x = 6,734.25 × 6,734.25
  4. Step 4: Simplify right side
    4,977x = 45,350,123.06
  5. Step 5: Solve for x
    x = 45,350,123.06/4,977
  6. Step 6: Final answer
    x = 9,111.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.