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Finding the Third Proportional to 11,026 and 26,007

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Solution

The third proportional to 11,026 and 26,007 is: 61,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026 : 26,007 = 26,007 : x
  2. Step 2: Convert to fraction form
    11,026/26,007 = 26,007/x
  3. Step 3: Cross multiply
    11,026x = 26,007 × 26,007
  4. Step 4: Simplify right side
    11,026x = 676,364,049
  5. Step 5: Solve for x
    x = 676,364,049/11,026
  6. Step 6: Final answer
    x = 61,342.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.