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Finding the Third Proportional to 11,421 and 24,534

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Solution

The third proportional to 11,421 and 24,534 is: 52,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421 : 24,534 = 24,534 : x
  2. Step 2: Convert to fraction form
    11,421/24,534 = 24,534/x
  3. Step 3: Cross multiply
    11,421x = 24,534 × 24,534
  4. Step 4: Simplify right side
    11,421x = 601,917,156
  5. Step 5: Solve for x
    x = 601,917,156/11,421
  6. Step 6: Final answer
    x = 52,702.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.