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Finding the Third Proportional to 46,982.53 and 72,860.77

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Solution

The third proportional to 46,982.53 and 72,860.77 is: 112,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,982.53 : 72,860.77 = 72,860.77 : x
  2. Step 2: Convert to fraction form
    46,982.53/72,860.77 = 72,860.77/x
  3. Step 3: Cross multiply
    46,982.53x = 72,860.77 × 72,860.77
  4. Step 4: Simplify right side
    46,982.53x = 5,308,691,167.46
  5. Step 5: Solve for x
    x = 5,308,691,167.46/46,982.53
  6. Step 6: Final answer
    x = 112,992.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.