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Finding the Third Proportional to 29,378 and 64,588

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Solution

The third proportional to 29,378 and 64,588 is: 141,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 64,588 = 64,588 : x
  2. Step 2: Convert to fraction form
    29,378/64,588 = 64,588/x
  3. Step 3: Cross multiply
    29,378x = 64,588 × 64,588
  4. Step 4: Simplify right side
    29,378x = 4,171,609,744
  5. Step 5: Solve for x
    x = 4,171,609,744/29,378
  6. Step 6: Final answer
    x = 141,997.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.