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Finding the Third Proportional to 5,895.47 and 8,919.19

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Solution

The third proportional to 5,895.47 and 8,919.19 is: 13,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.47 : 8,919.19 = 8,919.19 : x
  2. Step 2: Convert to fraction form
    5,895.47/8,919.19 = 8,919.19/x
  3. Step 3: Cross multiply
    5,895.47x = 8,919.19 × 8,919.19
  4. Step 4: Simplify right side
    5,895.47x = 79,551,905.66
  5. Step 5: Solve for x
    x = 79,551,905.66/5,895.47
  6. Step 6: Final answer
    x = 13,493.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.