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Finding the Third Proportional to 23,769 and 33,618

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Solution

The third proportional to 23,769 and 33,618 is: 47,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 33,618 = 33,618 : x
  2. Step 2: Convert to fraction form
    23,769/33,618 = 33,618/x
  3. Step 3: Cross multiply
    23,769x = 33,618 × 33,618
  4. Step 4: Simplify right side
    23,769x = 1,130,169,924
  5. Step 5: Solve for x
    x = 1,130,169,924/23,769
  6. Step 6: Final answer
    x = 47,548.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.