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Finding the Third Proportional to 24,029 and 52,213

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Solution

The third proportional to 24,029 and 52,213 is: 113,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,029 : 52,213 = 52,213 : x
  2. Step 2: Convert to fraction form
    24,029/52,213 = 52,213/x
  3. Step 3: Cross multiply
    24,029x = 52,213 × 52,213
  4. Step 4: Simplify right side
    24,029x = 2,726,197,369
  5. Step 5: Solve for x
    x = 2,726,197,369/24,029
  6. Step 6: Final answer
    x = 113,454.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.