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Finding the Third Proportional to 11,038 and 26,033

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Solution

The third proportional to 11,038 and 26,033 is: 61,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038 : 26,033 = 26,033 : x
  2. Step 2: Convert to fraction form
    11,038/26,033 = 26,033/x
  3. Step 3: Cross multiply
    11,038x = 26,033 × 26,033
  4. Step 4: Simplify right side
    11,038x = 677,717,089
  5. Step 5: Solve for x
    x = 677,717,089/11,038
  6. Step 6: Final answer
    x = 61,398.54

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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.