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Finding the Third Proportional to 29,721 and 44,090

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Solution

The third proportional to 29,721 and 44,090 is: 65,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,721 : 44,090 = 44,090 : x
  2. Step 2: Convert to fraction form
    29,721/44,090 = 44,090/x
  3. Step 3: Cross multiply
    29,721x = 44,090 × 44,090
  4. Step 4: Simplify right side
    29,721x = 1,943,928,100
  5. Step 5: Solve for x
    x = 1,943,928,100/29,721
  6. Step 6: Final answer
    x = 65,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.