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Finding the Third Proportional to 29,090.25 and 62,822.25

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Solution

The third proportional to 29,090.25 and 62,822.25 is: 135,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,090.25 : 62,822.25 = 62,822.25 : x
  2. Step 2: Convert to fraction form
    29,090.25/62,822.25 = 62,822.25/x
  3. Step 3: Cross multiply
    29,090.25x = 62,822.25 × 62,822.25
  4. Step 4: Simplify right side
    29,090.25x = 3,946,635,095.06
  5. Step 5: Solve for x
    x = 3,946,635,095.06/29,090.25
  6. Step 6: Final answer
    x = 135,668.66

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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.