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Finding the Third Proportional to 24,786 and 34,020

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Solution

The third proportional to 24,786 and 34,020 is: 46,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 34,020 = 34,020 : x
  2. Step 2: Convert to fraction form
    24,786/34,020 = 34,020/x
  3. Step 3: Cross multiply
    24,786x = 34,020 × 34,020
  4. Step 4: Simplify right side
    24,786x = 1,157,360,400
  5. Step 5: Solve for x
    x = 1,157,360,400/24,786
  6. Step 6: Final answer
    x = 46,694.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.