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Finding the Third Proportional to 6,656.55 and 14,236.59

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Solution

The third proportional to 6,656.55 and 14,236.59 is: 30,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.55 : 14,236.59 = 14,236.59 : x
  2. Step 2: Convert to fraction form
    6,656.55/14,236.59 = 14,236.59/x
  3. Step 3: Cross multiply
    6,656.55x = 14,236.59 × 14,236.59
  4. Step 4: Simplify right side
    6,656.55x = 202,680,601.60
  5. Step 5: Solve for x
    x = 202,680,601.60/6,656.55
  6. Step 6: Final answer
    x = 30,448.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.