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Finding the Third Proportional to 29,571 and 64,605

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Solution

The third proportional to 29,571 and 64,605 is: 141,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,571 : 64,605 = 64,605 : x
  2. Step 2: Convert to fraction form
    29,571/64,605 = 64,605/x
  3. Step 3: Cross multiply
    29,571x = 64,605 × 64,605
  4. Step 4: Simplify right side
    29,571x = 4,173,806,025
  5. Step 5: Solve for x
    x = 4,173,806,025/29,571
  6. Step 6: Final answer
    x = 141,145.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.