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Finding the Third Proportional to 29,206 and 45,628

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Solution

The third proportional to 29,206 and 45,628 is: 71,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206 : 45,628 = 45,628 : x
  2. Step 2: Convert to fraction form
    29,206/45,628 = 45,628/x
  3. Step 3: Cross multiply
    29,206x = 45,628 × 45,628
  4. Step 4: Simplify right side
    29,206x = 2,081,914,384
  5. Step 5: Solve for x
    x = 2,081,914,384/29,206
  6. Step 6: Final answer
    x = 71,283.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.