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Finding the Third Proportional to 10,755.84 and 23,068.41

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Solution

The third proportional to 10,755.84 and 23,068.41 is: 49,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.84 : 23,068.41 = 23,068.41 : x
  2. Step 2: Convert to fraction form
    10,755.84/23,068.41 = 23,068.41/x
  3. Step 3: Cross multiply
    10,755.84x = 23,068.41 × 23,068.41
  4. Step 4: Simplify right side
    10,755.84x = 532,151,366.92
  5. Step 5: Solve for x
    x = 532,151,366.92/10,755.84
  6. Step 6: Final answer
    x = 49,475.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.