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Finding the Third Proportional to 30,247 and 44,314

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Solution

The third proportional to 30,247 and 44,314 is: 64,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,247 : 44,314 = 44,314 : x
  2. Step 2: Convert to fraction form
    30,247/44,314 = 44,314/x
  3. Step 3: Cross multiply
    30,247x = 44,314 × 44,314
  4. Step 4: Simplify right side
    30,247x = 1,963,730,596
  5. Step 5: Solve for x
    x = 1,963,730,596/30,247
  6. Step 6: Final answer
    x = 64,923.15

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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.