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Finding the Third Proportional to 24,430 and 52,022

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Solution

The third proportional to 24,430 and 52,022 is: 110,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430 : 52,022 = 52,022 : x
  2. Step 2: Convert to fraction form
    24,430/52,022 = 52,022/x
  3. Step 3: Cross multiply
    24,430x = 52,022 × 52,022
  4. Step 4: Simplify right side
    24,430x = 2,706,288,484
  5. Step 5: Solve for x
    x = 2,706,288,484/24,430
  6. Step 6: Final answer
    x = 110,777.26

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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.