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Finding the Third Proportional to 6,280.03 and 9,214.59

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Solution

The third proportional to 6,280.03 and 9,214.59 is: 13,520.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.03 : 9,214.59 = 9,214.59 : x
  2. Step 2: Convert to fraction form
    6,280.03/9,214.59 = 9,214.59/x
  3. Step 3: Cross multiply
    6,280.03x = 9,214.59 × 9,214.59
  4. Step 4: Simplify right side
    6,280.03x = 84,908,737.98
  5. Step 5: Solve for x
    x = 84,908,737.98/6,280.03
  6. Step 6: Final answer
    x = 13,520.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.