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Finding the Third Proportional to 6,502.78 and 8,406.28

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Solution

The third proportional to 6,502.78 and 8,406.28 is: 10,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.78 : 8,406.28 = 8,406.28 : x
  2. Step 2: Convert to fraction form
    6,502.78/8,406.28 = 8,406.28/x
  3. Step 3: Cross multiply
    6,502.78x = 8,406.28 × 8,406.28
  4. Step 4: Simplify right side
    6,502.78x = 70,665,564.45
  5. Step 5: Solve for x
    x = 70,665,564.45/6,502.78
  6. Step 6: Final answer
    x = 10,866.98

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.