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Finding the Third Proportional to 5,856.38 and 8,931.38

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Solution

The third proportional to 5,856.38 and 8,931.38 is: 13,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.38 : 8,931.38 = 8,931.38 : x
  2. Step 2: Convert to fraction form
    5,856.38/8,931.38 = 8,931.38/x
  3. Step 3: Cross multiply
    5,856.38x = 8,931.38 × 8,931.38
  4. Step 4: Simplify right side
    5,856.38x = 79,769,459.39
  5. Step 5: Solve for x
    x = 79,769,459.39/5,856.38
  6. Step 6: Final answer
    x = 13,620.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.