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Finding the Third Proportional to 4,701 and 5,331

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Solution

The third proportional to 4,701 and 5,331 is: 6,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701 : 5,331 = 5,331 : x
  2. Step 2: Convert to fraction form
    4,701/5,331 = 5,331/x
  3. Step 3: Cross multiply
    4,701x = 5,331 × 5,331
  4. Step 4: Simplify right side
    4,701x = 28,419,561
  5. Step 5: Solve for x
    x = 28,419,561/4,701
  6. Step 6: Final answer
    x = 6,045.43

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.