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Finding the Third Proportional to 30,732 and 66,396

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Solution

The third proportional to 30,732 and 66,396 is: 143,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,732 : 66,396 = 66,396 : x
  2. Step 2: Convert to fraction form
    30,732/66,396 = 66,396/x
  3. Step 3: Cross multiply
    30,732x = 66,396 × 66,396
  4. Step 4: Simplify right side
    30,732x = 4,408,428,816
  5. Step 5: Solve for x
    x = 4,408,428,816/30,732
  6. Step 6: Final answer
    x = 143,447.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.