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Finding the Third Proportional to 46,765.13 and 69,963.19

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Solution

The third proportional to 46,765.13 and 69,963.19 is: 104,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,765.13 : 69,963.19 = 69,963.19 : x
  2. Step 2: Convert to fraction form
    46,765.13/69,963.19 = 69,963.19/x
  3. Step 3: Cross multiply
    46,765.13x = 69,963.19 × 69,963.19
  4. Step 4: Simplify right side
    46,765.13x = 4,894,847,605.16
  5. Step 5: Solve for x
    x = 4,894,847,605.16/46,765.13
  6. Step 6: Final answer
    x = 104,668.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.