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Finding the Third Proportional to 11,034 and 24,370

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Solution

The third proportional to 11,034 and 24,370 is: 53,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034 : 24,370 = 24,370 : x
  2. Step 2: Convert to fraction form
    11,034/24,370 = 24,370/x
  3. Step 3: Cross multiply
    11,034x = 24,370 × 24,370
  4. Step 4: Simplify right side
    11,034x = 593,896,900
  5. Step 5: Solve for x
    x = 593,896,900/11,034
  6. Step 6: Final answer
    x = 53,824.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.