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Finding the Third Proportional to 17,026 and 23,466

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Solution

The third proportional to 17,026 and 23,466 is: 32,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026 : 23,466 = 23,466 : x
  2. Step 2: Convert to fraction form
    17,026/23,466 = 23,466/x
  3. Step 3: Cross multiply
    17,026x = 23,466 × 23,466
  4. Step 4: Simplify right side
    17,026x = 550,653,156
  5. Step 5: Solve for x
    x = 550,653,156/17,026
  6. Step 6: Final answer
    x = 32,341.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.