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Finding the Third Proportional to 46,969.88 and 72,841.78

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Solution

The third proportional to 46,969.88 and 72,841.78 is: 112,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.88 : 72,841.78 = 72,841.78 : x
  2. Step 2: Convert to fraction form
    46,969.88/72,841.78 = 72,841.78/x
  3. Step 3: Cross multiply
    46,969.88x = 72,841.78 × 72,841.78
  4. Step 4: Simplify right side
    46,969.88x = 5,305,925,095.67
  5. Step 5: Solve for x
    x = 5,305,925,095.67/46,969.88
  6. Step 6: Final answer
    x = 112,964.43

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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.