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Finding the Third Proportional to 10,016.16 and 21,637.97

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Solution

The third proportional to 10,016.16 and 21,637.97 is: 46,744.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.16 : 21,637.97 = 21,637.97 : x
  2. Step 2: Convert to fraction form
    10,016.16/21,637.97 = 21,637.97/x
  3. Step 3: Cross multiply
    10,016.16x = 21,637.97 × 21,637.97
  4. Step 4: Simplify right side
    10,016.16x = 468,201,691.63
  5. Step 5: Solve for x
    x = 468,201,691.63/10,016.16
  6. Step 6: Final answer
    x = 46,744.65

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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.