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Finding the Third Proportional to 47,718 and 62,769

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Solution

The third proportional to 47,718 and 62,769 is: 82,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718 : 62,769 = 62,769 : x
  2. Step 2: Convert to fraction form
    47,718/62,769 = 62,769/x
  3. Step 3: Cross multiply
    47,718x = 62,769 × 62,769
  4. Step 4: Simplify right side
    47,718x = 3,939,947,361
  5. Step 5: Solve for x
    x = 3,939,947,361/47,718
  6. Step 6: Final answer
    x = 82,567.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.