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Finding the Third Proportional to 41,868 and 59,688.75

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Solution

The third proportional to 41,868 and 59,688.75 is: 85,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,868 : 59,688.75 = 59,688.75 : x
  2. Step 2: Convert to fraction form
    41,868/59,688.75 = 59,688.75/x
  3. Step 3: Cross multiply
    41,868x = 59,688.75 × 59,688.75
  4. Step 4: Simplify right side
    41,868x = 3,562,746,876.56
  5. Step 5: Solve for x
    x = 3,562,746,876.56/41,868
  6. Step 6: Final answer
    x = 85,094.75

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.