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Finding the Third Proportional to 4,710 and 7,349

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Solution

The third proportional to 4,710 and 7,349 is: 11,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710 : 7,349 = 7,349 : x
  2. Step 2: Convert to fraction form
    4,710/7,349 = 7,349/x
  3. Step 3: Cross multiply
    4,710x = 7,349 × 7,349
  4. Step 4: Simplify right side
    4,710x = 54,007,801
  5. Step 5: Solve for x
    x = 54,007,801/4,710
  6. Step 6: Final answer
    x = 11,466.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.