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Finding the Third Proportional to 5,766.94 and 7,368.94

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Solution

The third proportional to 5,766.94 and 7,368.94 is: 9,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.94 : 7,368.94 = 7,368.94 : x
  2. Step 2: Convert to fraction form
    5,766.94/7,368.94 = 7,368.94/x
  3. Step 3: Cross multiply
    5,766.94x = 7,368.94 × 7,368.94
  4. Step 4: Simplify right side
    5,766.94x = 54,301,239.88
  5. Step 5: Solve for x
    x = 54,301,239.88/5,766.94
  6. Step 6: Final answer
    x = 9,415.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.