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Finding the Third Proportional to 10,403 and 21,670

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Solution

The third proportional to 10,403 and 21,670 is: 45,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403 : 21,670 = 21,670 : x
  2. Step 2: Convert to fraction form
    10,403/21,670 = 21,670/x
  3. Step 3: Cross multiply
    10,403x = 21,670 × 21,670
  4. Step 4: Simplify right side
    10,403x = 469,588,900
  5. Step 5: Solve for x
    x = 469,588,900/10,403
  6. Step 6: Final answer
    x = 45,139.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.