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Finding the Third Proportional to 7,029.28 and 8,244.28

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Solution

The third proportional to 7,029.28 and 8,244.28 is: 9,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.28 : 8,244.28 = 8,244.28 : x
  2. Step 2: Convert to fraction form
    7,029.28/8,244.28 = 8,244.28/x
  3. Step 3: Cross multiply
    7,029.28x = 8,244.28 × 8,244.28
  4. Step 4: Simplify right side
    7,029.28x = 67,968,173.33
  5. Step 5: Solve for x
    x = 67,968,173.33/7,029.28
  6. Step 6: Final answer
    x = 9,669.29

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.