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Finding the Third Proportional to 10,137.66 and 21,774.66

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Solution

The third proportional to 10,137.66 and 21,774.66 is: 46,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.66 : 21,774.66 = 21,774.66 : x
  2. Step 2: Convert to fraction form
    10,137.66/21,774.66 = 21,774.66/x
  3. Step 3: Cross multiply
    10,137.66x = 21,774.66 × 21,774.66
  4. Step 4: Simplify right side
    10,137.66x = 474,135,654.81
  5. Step 5: Solve for x
    x = 474,135,654.81/10,137.66
  6. Step 6: Final answer
    x = 46,769.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.