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Finding the Third Proportional to 20,820 and 42,840

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Solution

The third proportional to 20,820 and 42,840 is: 88,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 42,840 = 42,840 : x
  2. Step 2: Convert to fraction form
    20,820/42,840 = 42,840/x
  3. Step 3: Cross multiply
    20,820x = 42,840 × 42,840
  4. Step 4: Simplify right side
    20,820x = 1,835,265,600
  5. Step 5: Solve for x
    x = 1,835,265,600/20,820
  6. Step 6: Final answer
    x = 88,149.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.