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Finding the Third Proportional to 46,974.94 and 72,705.09

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Solution

The third proportional to 46,974.94 and 72,705.09 is: 112,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,974.94 : 72,705.09 = 72,705.09 : x
  2. Step 2: Convert to fraction form
    46,974.94/72,705.09 = 72,705.09/x
  3. Step 3: Cross multiply
    46,974.94x = 72,705.09 × 72,705.09
  4. Step 4: Simplify right side
    46,974.94x = 5,286,030,657.20
  5. Step 5: Solve for x
    x = 5,286,030,657.20/46,974.94
  6. Step 6: Final answer
    x = 112,528.74

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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.