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Finding the Third Proportional to 11,034 and 23,145

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Solution

The third proportional to 11,034 and 23,145 is: 48,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034 : 23,145 = 23,145 : x
  2. Step 2: Convert to fraction form
    11,034/23,145 = 23,145/x
  3. Step 3: Cross multiply
    11,034x = 23,145 × 23,145
  4. Step 4: Simplify right side
    11,034x = 535,691,025
  5. Step 5: Solve for x
    x = 535,691,025/11,034
  6. Step 6: Final answer
    x = 48,549.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.