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Finding the Third Proportional to 10,808 and 24,026

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Solution

The third proportional to 10,808 and 24,026 is: 53,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808 : 24,026 = 24,026 : x
  2. Step 2: Convert to fraction form
    10,808/24,026 = 24,026/x
  3. Step 3: Cross multiply
    10,808x = 24,026 × 24,026
  4. Step 4: Simplify right side
    10,808x = 577,248,676
  5. Step 5: Solve for x
    x = 577,248,676/10,808
  6. Step 6: Final answer
    x = 53,409.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.