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Finding the Third Proportional to 30,712.92 and 46,286.02

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Solution

The third proportional to 30,712.92 and 46,286.02 is: 69,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712.92 : 46,286.02 = 46,286.02 : x
  2. Step 2: Convert to fraction form
    30,712.92/46,286.02 = 46,286.02/x
  3. Step 3: Cross multiply
    30,712.92x = 46,286.02 × 46,286.02
  4. Step 4: Simplify right side
    30,712.92x = 2,142,395,242.44
  5. Step 5: Solve for x
    x = 2,142,395,242.44/30,712.92
  6. Step 6: Final answer
    x = 69,755.50

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