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Finding the Third Proportional to 30,375 and 45,441

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Solution

The third proportional to 30,375 and 45,441 is: 67,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375 : 45,441 = 45,441 : x
  2. Step 2: Convert to fraction form
    30,375/45,441 = 45,441/x
  3. Step 3: Cross multiply
    30,375x = 45,441 × 45,441
  4. Step 4: Simplify right side
    30,375x = 2,064,884,481
  5. Step 5: Solve for x
    x = 2,064,884,481/30,375
  6. Step 6: Final answer
    x = 67,979.74

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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.