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Finding the Third Proportional to 46,797.50 and 72,734.50

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Solution

The third proportional to 46,797.50 and 72,734.50 is: 113,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,797.50 : 72,734.50 = 72,734.50 : x
  2. Step 2: Convert to fraction form
    46,797.50/72,734.50 = 72,734.50/x
  3. Step 3: Cross multiply
    46,797.50x = 72,734.50 × 72,734.50
  4. Step 4: Simplify right side
    46,797.50x = 5,290,307,490.25
  5. Step 5: Solve for x
    x = 5,290,307,490.25/46,797.50
  6. Step 6: Final answer
    x = 113,046.80

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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.