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Finding the Third Proportional to 34,453 and 48,764

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Solution

The third proportional to 34,453 and 48,764 is: 69,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,453 : 48,764 = 48,764 : x
  2. Step 2: Convert to fraction form
    34,453/48,764 = 48,764/x
  3. Step 3: Cross multiply
    34,453x = 48,764 × 48,764
  4. Step 4: Simplify right side
    34,453x = 2,377,927,696
  5. Step 5: Solve for x
    x = 2,377,927,696/34,453
  6. Step 6: Final answer
    x = 69,019.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.