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Finding the Third Proportional to 21,005 and 45,458

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Solution

The third proportional to 21,005 and 45,458 is: 98,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005 : 45,458 = 45,458 : x
  2. Step 2: Convert to fraction form
    21,005/45,458 = 45,458/x
  3. Step 3: Cross multiply
    21,005x = 45,458 × 45,458
  4. Step 4: Simplify right side
    21,005x = 2,066,429,764
  5. Step 5: Solve for x
    x = 2,066,429,764/21,005
  6. Step 6: Final answer
    x = 98,377.99

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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.