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Finding the Third Proportional to 34,920 and 49,373

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Solution

The third proportional to 34,920 and 49,373 is: 69,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,920 : 49,373 = 49,373 : x
  2. Step 2: Convert to fraction form
    34,920/49,373 = 49,373/x
  3. Step 3: Cross multiply
    34,920x = 49,373 × 49,373
  4. Step 4: Simplify right side
    34,920x = 2,437,693,129
  5. Step 5: Solve for x
    x = 2,437,693,129/34,920
  6. Step 6: Final answer
    x = 69,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.