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Finding the Third Proportional to 6,440.16 and 13,572.09

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Solution

The third proportional to 6,440.16 and 13,572.09 is: 28,602.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.16 : 13,572.09 = 13,572.09 : x
  2. Step 2: Convert to fraction form
    6,440.16/13,572.09 = 13,572.09/x
  3. Step 3: Cross multiply
    6,440.16x = 13,572.09 × 13,572.09
  4. Step 4: Simplify right side
    6,440.16x = 184,201,728.76
  5. Step 5: Solve for x
    x = 184,201,728.76/6,440.16
  6. Step 6: Final answer
    x = 28,602.06

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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.