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Finding the Third Proportional to 3,064.69 and 6,615.28

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Solution

The third proportional to 3,064.69 and 6,615.28 is: 14,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.69 : 6,615.28 = 6,615.28 : x
  2. Step 2: Convert to fraction form
    3,064.69/6,615.28 = 6,615.28/x
  3. Step 3: Cross multiply
    3,064.69x = 6,615.28 × 6,615.28
  4. Step 4: Simplify right side
    3,064.69x = 43,761,946.02
  5. Step 5: Solve for x
    x = 43,761,946.02/3,064.69
  6. Step 6: Final answer
    x = 14,279.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.