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Finding the Third Proportional to 24,070 and 52,790

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Solution

The third proportional to 24,070 and 52,790 is: 115,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,070 : 52,790 = 52,790 : x
  2. Step 2: Convert to fraction form
    24,070/52,790 = 52,790/x
  3. Step 3: Cross multiply
    24,070x = 52,790 × 52,790
  4. Step 4: Simplify right side
    24,070x = 2,786,784,100
  5. Step 5: Solve for x
    x = 2,786,784,100/24,070
  6. Step 6: Final answer
    x = 115,778.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.