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Finding the Third Proportional to 4,748 and 7,144

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Solution

The third proportional to 4,748 and 7,144 is: 10,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748 : 7,144 = 7,144 : x
  2. Step 2: Convert to fraction form
    4,748/7,144 = 7,144/x
  3. Step 3: Cross multiply
    4,748x = 7,144 × 7,144
  4. Step 4: Simplify right side
    4,748x = 51,036,736
  5. Step 5: Solve for x
    x = 51,036,736/4,748
  6. Step 6: Final answer
    x = 10,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.