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Finding the Third Proportional to 30,642 and 45,966

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Solution

The third proportional to 30,642 and 45,966 is: 68,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642 : 45,966 = 45,966 : x
  2. Step 2: Convert to fraction form
    30,642/45,966 = 45,966/x
  3. Step 3: Cross multiply
    30,642x = 45,966 × 45,966
  4. Step 4: Simplify right side
    30,642x = 2,112,873,156
  5. Step 5: Solve for x
    x = 2,112,873,156/30,642
  6. Step 6: Final answer
    x = 68,953.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.