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Finding the Third Proportional to 46,002.94 and 65,086.03

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Solution

The third proportional to 46,002.94 and 65,086.03 is: 92,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,002.94 : 65,086.03 = 65,086.03 : x
  2. Step 2: Convert to fraction form
    46,002.94/65,086.03 = 65,086.03/x
  3. Step 3: Cross multiply
    46,002.94x = 65,086.03 × 65,086.03
  4. Step 4: Simplify right side
    46,002.94x = 4,236,191,463.88
  5. Step 5: Solve for x
    x = 4,236,191,463.88/46,002.94
  6. Step 6: Final answer
    x = 92,085.24

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.