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Finding the Third Proportional to 47,152 and 62,949

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Solution

The third proportional to 47,152 and 62,949 is: 84,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152 : 62,949 = 62,949 : x
  2. Step 2: Convert to fraction form
    47,152/62,949 = 62,949/x
  3. Step 3: Cross multiply
    47,152x = 62,949 × 62,949
  4. Step 4: Simplify right side
    47,152x = 3,962,576,601
  5. Step 5: Solve for x
    x = 3,962,576,601/47,152
  6. Step 6: Final answer
    x = 84,038.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.