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Finding the Third Proportional to 20,124 and 26,570

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Solution

The third proportional to 20,124 and 26,570 is: 35,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124 : 26,570 = 26,570 : x
  2. Step 2: Convert to fraction form
    20,124/26,570 = 26,570/x
  3. Step 3: Cross multiply
    20,124x = 26,570 × 26,570
  4. Step 4: Simplify right side
    20,124x = 705,964,900
  5. Step 5: Solve for x
    x = 705,964,900/20,124
  6. Step 6: Final answer
    x = 35,080.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.