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Finding the Third Proportional to 46,970 and 82,782

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Solution

The third proportional to 46,970 and 82,782 is: 145,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,970 : 82,782 = 82,782 : x
  2. Step 2: Convert to fraction form
    46,970/82,782 = 82,782/x
  3. Step 3: Cross multiply
    46,970x = 82,782 × 82,782
  4. Step 4: Simplify right side
    46,970x = 6,852,859,524
  5. Step 5: Solve for x
    x = 6,852,859,524/46,970
  6. Step 6: Final answer
    x = 145,898.65

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.