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Finding the Third Proportional to 21,832 and 35,618

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Solution

The third proportional to 21,832 and 35,618 is: 58,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832 : 35,618 = 35,618 : x
  2. Step 2: Convert to fraction form
    21,832/35,618 = 35,618/x
  3. Step 3: Cross multiply
    21,832x = 35,618 × 35,618
  4. Step 4: Simplify right side
    21,832x = 1,268,641,924
  5. Step 5: Solve for x
    x = 1,268,641,924/21,832
  6. Step 6: Final answer
    x = 58,109.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.