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Finding the Third Proportional to 10,008.56 and 21,728.25

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Solution

The third proportional to 10,008.56 and 21,728.25 is: 47,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.56 : 21,728.25 = 21,728.25 : x
  2. Step 2: Convert to fraction form
    10,008.56/21,728.25 = 21,728.25/x
  3. Step 3: Cross multiply
    10,008.56x = 21,728.25 × 21,728.25
  4. Step 4: Simplify right side
    10,008.56x = 472,116,848.06
  5. Step 5: Solve for x
    x = 472,116,848.06/10,008.56
  6. Step 6: Final answer
    x = 47,171.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.