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Finding the Third Proportional to 20,842 and 45,008

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Solution

The third proportional to 20,842 and 45,008 is: 97,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842 : 45,008 = 45,008 : x
  2. Step 2: Convert to fraction form
    20,842/45,008 = 45,008/x
  3. Step 3: Cross multiply
    20,842x = 45,008 × 45,008
  4. Step 4: Simplify right side
    20,842x = 2,025,720,064
  5. Step 5: Solve for x
    x = 2,025,720,064/20,842
  6. Step 6: Final answer
    x = 97,194.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.