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Finding the Third Proportional to 21,340 and 45,842

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Solution

The third proportional to 21,340 and 45,842 is: 98,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,340 : 45,842 = 45,842 : x
  2. Step 2: Convert to fraction form
    21,340/45,842 = 45,842/x
  3. Step 3: Cross multiply
    21,340x = 45,842 × 45,842
  4. Step 4: Simplify right side
    21,340x = 2,101,488,964
  5. Step 5: Solve for x
    x = 2,101,488,964/21,340
  6. Step 6: Final answer
    x = 98,476.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.