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Finding the Third Proportional to 5,774.39 and 8,045.18

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Solution

The third proportional to 5,774.39 and 8,045.18 is: 11,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.39 : 8,045.18 = 8,045.18 : x
  2. Step 2: Convert to fraction form
    5,774.39/8,045.18 = 8,045.18/x
  3. Step 3: Cross multiply
    5,774.39x = 8,045.18 × 8,045.18
  4. Step 4: Simplify right side
    5,774.39x = 64,724,916.20
  5. Step 5: Solve for x
    x = 64,724,916.20/5,774.39
  6. Step 6: Final answer
    x = 11,208.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.