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Finding the Third Proportional to 4,560 and 5,944

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Solution

The third proportional to 4,560 and 5,944 is: 7,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560 : 5,944 = 5,944 : x
  2. Step 2: Convert to fraction form
    4,560/5,944 = 5,944/x
  3. Step 3: Cross multiply
    4,560x = 5,944 × 5,944
  4. Step 4: Simplify right side
    4,560x = 35,331,136
  5. Step 5: Solve for x
    x = 35,331,136/4,560
  6. Step 6: Final answer
    x = 7,748.06

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.