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Finding the Third Proportional to 4,659.19 and 5,266.69

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Solution

The third proportional to 4,659.19 and 5,266.69 is: 5,953.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.19 : 5,266.69 = 5,266.69 : x
  2. Step 2: Convert to fraction form
    4,659.19/5,266.69 = 5,266.69/x
  3. Step 3: Cross multiply
    4,659.19x = 5,266.69 × 5,266.69
  4. Step 4: Simplify right side
    4,659.19x = 27,737,997.22
  5. Step 5: Solve for x
    x = 27,737,997.22/4,659.19
  6. Step 6: Final answer
    x = 5,953.40

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.