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Finding the Third Proportional to 45,642 and 66,438

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Solution

The third proportional to 45,642 and 66,438 is: 96,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642 : 66,438 = 66,438 : x
  2. Step 2: Convert to fraction form
    45,642/66,438 = 66,438/x
  3. Step 3: Cross multiply
    45,642x = 66,438 × 66,438
  4. Step 4: Simplify right side
    45,642x = 4,414,007,844
  5. Step 5: Solve for x
    x = 4,414,007,844/45,642
  6. Step 6: Final answer
    x = 96,709.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.