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Finding the Third Proportional to 46,585.13 and 72,645.61

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Solution

The third proportional to 46,585.13 and 72,645.61 is: 113,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,585.13 : 72,645.61 = 72,645.61 : x
  2. Step 2: Convert to fraction form
    46,585.13/72,645.61 = 72,645.61/x
  3. Step 3: Cross multiply
    46,585.13x = 72,645.61 × 72,645.61
  4. Step 4: Simplify right side
    46,585.13x = 5,277,384,561.47
  5. Step 5: Solve for x
    x = 5,277,384,561.47/46,585.13
  6. Step 6: Final answer
    x = 113,284.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.