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Finding the Third Proportional to 44,657.25 and 69,116.63

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Solution

The third proportional to 44,657.25 and 69,116.63 is: 106,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,657.25 : 69,116.63 = 69,116.63 : x
  2. Step 2: Convert to fraction form
    44,657.25/69,116.63 = 69,116.63/x
  3. Step 3: Cross multiply
    44,657.25x = 69,116.63 × 69,116.63
  4. Step 4: Simplify right side
    44,657.25x = 4,777,107,851.39
  5. Step 5: Solve for x
    x = 4,777,107,851.39/44,657.25
  6. Step 6: Final answer
    x = 106,972.73

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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.