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Finding the Third Proportional to 4,566 and 7,259

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Solution

The third proportional to 4,566 and 7,259 is: 11,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566 : 7,259 = 7,259 : x
  2. Step 2: Convert to fraction form
    4,566/7,259 = 7,259/x
  3. Step 3: Cross multiply
    4,566x = 7,259 × 7,259
  4. Step 4: Simplify right side
    4,566x = 52,693,081
  5. Step 5: Solve for x
    x = 52,693,081/4,566
  6. Step 6: Final answer
    x = 11,540.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.