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Finding the Third Proportional to 45,689.06 and 68,533.59

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Solution

The third proportional to 45,689.06 and 68,533.59 is: 102,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689.06 : 68,533.59 = 68,533.59 : x
  2. Step 2: Convert to fraction form
    45,689.06/68,533.59 = 68,533.59/x
  3. Step 3: Cross multiply
    45,689.06x = 68,533.59 × 68,533.59
  4. Step 4: Simplify right side
    45,689.06x = 4,696,853,472.29
  5. Step 5: Solve for x
    x = 4,696,853,472.29/45,689.06
  6. Step 6: Final answer
    x = 102,800.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.