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Finding the Third Proportional to 10,116 and 21,575.25

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Solution

The third proportional to 10,116 and 21,575.25 is: 46,015.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116 : 21,575.25 = 21,575.25 : x
  2. Step 2: Convert to fraction form
    10,116/21,575.25 = 21,575.25/x
  3. Step 3: Cross multiply
    10,116x = 21,575.25 × 21,575.25
  4. Step 4: Simplify right side
    10,116x = 465,491,412.56
  5. Step 5: Solve for x
    x = 465,491,412.56/10,116
  6. Step 6: Final answer
    x = 46,015.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.