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Finding the Third Proportional to 20,657 and 42,403

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Solution

The third proportional to 20,657 and 42,403 is: 87,041.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657 : 42,403 = 42,403 : x
  2. Step 2: Convert to fraction form
    20,657/42,403 = 42,403/x
  3. Step 3: Cross multiply
    20,657x = 42,403 × 42,403
  4. Step 4: Simplify right side
    20,657x = 1,798,014,409
  5. Step 5: Solve for x
    x = 1,798,014,409/20,657
  6. Step 6: Final answer
    x = 87,041.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.