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Finding the Third Proportional to 30,712.92 and 46,285.80

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Solution

The third proportional to 30,712.92 and 46,285.80 is: 69,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.92 : 46,285.80 = 46,285.80 : x
  2. Step 2: Convert to fraction form
    30,712.92/46,285.80 = 46,285.80/x
  3. Step 3: Cross multiply
    30,712.92x = 46,285.80 × 46,285.80
  4. Step 4: Simplify right side
    30,712.92x = 2,142,375,715.57
  5. Step 5: Solve for x
    x = 2,142,375,715.57/30,712.92
  6. Step 6: Final answer
    x = 69,754.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.