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Finding the Third Proportional to 4,770.38 and 7,017.38

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Solution

The third proportional to 4,770.38 and 7,017.38 is: 10,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.38 : 7,017.38 = 7,017.38 : x
  2. Step 2: Convert to fraction form
    4,770.38/7,017.38 = 7,017.38/x
  3. Step 3: Cross multiply
    4,770.38x = 7,017.38 × 7,017.38
  4. Step 4: Simplify right side
    4,770.38x = 49,243,551.89
  5. Step 5: Solve for x
    x = 49,243,551.89/4,770.38
  6. Step 6: Final answer
    x = 10,322.78

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.