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Finding the Third Proportional to 29,732 and 64,932

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Solution

The third proportional to 29,732 and 64,932 is: 141,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732 : 64,932 = 64,932 : x
  2. Step 2: Convert to fraction form
    29,732/64,932 = 64,932/x
  3. Step 3: Cross multiply
    29,732x = 64,932 × 64,932
  4. Step 4: Simplify right side
    29,732x = 4,216,164,624
  5. Step 5: Solve for x
    x = 4,216,164,624/29,732
  6. Step 6: Final answer
    x = 141,805.62

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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.