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Finding the Third Proportional to 10,808.25 and 23,666.63

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Solution

The third proportional to 10,808.25 and 23,666.63 is: 51,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.25 : 23,666.63 = 23,666.63 : x
  2. Step 2: Convert to fraction form
    10,808.25/23,666.63 = 23,666.63/x
  3. Step 3: Cross multiply
    10,808.25x = 23,666.63 × 23,666.63
  4. Step 4: Simplify right side
    10,808.25x = 560,109,138.89
  5. Step 5: Solve for x
    x = 560,109,138.89/10,808.25
  6. Step 6: Final answer
    x = 51,822.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.