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Finding the Third Proportional to 45,688.50 and 68,532.75

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Solution

The third proportional to 45,688.50 and 68,532.75 is: 102,799.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,688.50 : 68,532.75 = 68,532.75 : x
  2. Step 2: Convert to fraction form
    45,688.50/68,532.75 = 68,532.75/x
  3. Step 3: Cross multiply
    45,688.50x = 68,532.75 × 68,532.75
  4. Step 4: Simplify right side
    45,688.50x = 4,696,737,822.56
  5. Step 5: Solve for x
    x = 4,696,737,822.56/45,688.50
  6. Step 6: Final answer
    x = 102,799.13

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Why These Related Problems?

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