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Finding the Third Proportional to 30,188 and 44,357

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Solution

The third proportional to 30,188 and 44,357 is: 65,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188 : 44,357 = 44,357 : x
  2. Step 2: Convert to fraction form
    30,188/44,357 = 44,357/x
  3. Step 3: Cross multiply
    30,188x = 44,357 × 44,357
  4. Step 4: Simplify right side
    30,188x = 1,967,543,449
  5. Step 5: Solve for x
    x = 1,967,543,449/30,188
  6. Step 6: Final answer
    x = 65,176.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.