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Finding the Third Proportional to 5,767.14 and 9,034.98

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Solution

The third proportional to 5,767.14 and 9,034.98 is: 14,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.14 : 9,034.98 = 9,034.98 : x
  2. Step 2: Convert to fraction form
    5,767.14/9,034.98 = 9,034.98/x
  3. Step 3: Cross multiply
    5,767.14x = 9,034.98 × 9,034.98
  4. Step 4: Simplify right side
    5,767.14x = 81,630,872.07
  5. Step 5: Solve for x
    x = 81,630,872.07/5,767.14
  6. Step 6: Final answer
    x = 14,154.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.