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Finding the Third Proportional to 6,440.25 and 13,572.38

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Solution

The third proportional to 6,440.25 and 13,572.38 is: 28,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.25 : 13,572.38 = 13,572.38 : x
  2. Step 2: Convert to fraction form
    6,440.25/13,572.38 = 13,572.38/x
  3. Step 3: Cross multiply
    6,440.25x = 13,572.38 × 13,572.38
  4. Step 4: Simplify right side
    6,440.25x = 184,209,363.14
  5. Step 5: Solve for x
    x = 184,209,363.14/6,440.25
  6. Step 6: Final answer
    x = 28,602.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.