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Finding the Third Proportional to 4,735.27 and 7,011.28

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Solution

The third proportional to 4,735.27 and 7,011.28 is: 10,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.27 : 7,011.28 = 7,011.28 : x
  2. Step 2: Convert to fraction form
    4,735.27/7,011.28 = 7,011.28/x
  3. Step 3: Cross multiply
    4,735.27x = 7,011.28 × 7,011.28
  4. Step 4: Simplify right side
    4,735.27x = 49,158,064.77
  5. Step 5: Solve for x
    x = 49,158,064.77/4,735.27
  6. Step 6: Final answer
    x = 10,381.27

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.