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Finding the Third Proportional to 11,034 and 26,024

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Solution

The third proportional to 11,034 and 26,024 is: 61,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034 : 26,024 = 26,024 : x
  2. Step 2: Convert to fraction form
    11,034/26,024 = 26,024/x
  3. Step 3: Cross multiply
    11,034x = 26,024 × 26,024
  4. Step 4: Simplify right side
    11,034x = 677,248,576
  5. Step 5: Solve for x
    x = 677,248,576/11,034
  6. Step 6: Final answer
    x = 61,378.34

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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.