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Finding the Third Proportional to 29,314 and 45,420

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Solution

The third proportional to 29,314 and 45,420 is: 70,375.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314 : 45,420 = 45,420 : x
  2. Step 2: Convert to fraction form
    29,314/45,420 = 45,420/x
  3. Step 3: Cross multiply
    29,314x = 45,420 × 45,420
  4. Step 4: Simplify right side
    29,314x = 2,062,976,400
  5. Step 5: Solve for x
    x = 2,062,976,400/29,314
  6. Step 6: Final answer
    x = 70,375.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.