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Finding the Third Proportional to 29,305 and 64,586

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Solution

The third proportional to 29,305 and 64,586 is: 142,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,305 : 64,586 = 64,586 : x
  2. Step 2: Convert to fraction form
    29,305/64,586 = 64,586/x
  3. Step 3: Cross multiply
    29,305x = 64,586 × 64,586
  4. Step 4: Simplify right side
    29,305x = 4,171,351,396
  5. Step 5: Solve for x
    x = 4,171,351,396/29,305
  6. Step 6: Final answer
    x = 142,342.65

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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.