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Finding the Third Proportional to 3,664 and 9,618

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Solution

The third proportional to 3,664 and 9,618 is: 25,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 9,618 = 9,618 : x
  2. Step 2: Convert to fraction form
    3,664/9,618 = 9,618/x
  3. Step 3: Cross multiply
    3,664x = 9,618 × 9,618
  4. Step 4: Simplify right side
    3,664x = 92,505,924
  5. Step 5: Solve for x
    x = 92,505,924/3,664
  6. Step 6: Final answer
    x = 25,247.25

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.