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Finding the Third Proportional to 7,074.84 and 10,943.86

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Solution

The third proportional to 7,074.84 and 10,943.86 is: 16,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.84 : 10,943.86 = 10,943.86 : x
  2. Step 2: Convert to fraction form
    7,074.84/10,943.86 = 10,943.86/x
  3. Step 3: Cross multiply
    7,074.84x = 10,943.86 × 10,943.86
  4. Step 4: Simplify right side
    7,074.84x = 119,768,058.02
  5. Step 5: Solve for x
    x = 119,768,058.02/7,074.84
  6. Step 6: Final answer
    x = 16,928.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.