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Finding the Third Proportional to 21,032 and 45,952

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Solution

The third proportional to 21,032 and 45,952 is: 100,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032 : 45,952 = 45,952 : x
  2. Step 2: Convert to fraction form
    21,032/45,952 = 45,952/x
  3. Step 3: Cross multiply
    21,032x = 45,952 × 45,952
  4. Step 4: Simplify right side
    21,032x = 2,111,586,304
  5. Step 5: Solve for x
    x = 2,111,586,304/21,032
  6. Step 6: Final answer
    x = 100,398.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.