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Finding the Third Proportional to 29,237 and 64,306

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Solution

The third proportional to 29,237 and 64,306 is: 141,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,237 : 64,306 = 64,306 : x
  2. Step 2: Convert to fraction form
    29,237/64,306 = 64,306/x
  3. Step 3: Cross multiply
    29,237x = 64,306 × 64,306
  4. Step 4: Simplify right side
    29,237x = 4,135,261,636
  5. Step 5: Solve for x
    x = 4,135,261,636/29,237
  6. Step 6: Final answer
    x = 141,439.33

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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.