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Finding the Third Proportional to 24,434 and 52,028

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Solution

The third proportional to 24,434 and 52,028 is: 110,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434 : 52,028 = 52,028 : x
  2. Step 2: Convert to fraction form
    24,434/52,028 = 52,028/x
  3. Step 3: Cross multiply
    24,434x = 52,028 × 52,028
  4. Step 4: Simplify right side
    24,434x = 2,706,912,784
  5. Step 5: Solve for x
    x = 2,706,912,784/24,434
  6. Step 6: Final answer
    x = 110,784.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.