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Finding the Third Proportional to 38,233.50 and 60,730.69

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Solution

The third proportional to 38,233.50 and 60,730.69 is: 96,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,233.50 : 60,730.69 = 60,730.69 : x
  2. Step 2: Convert to fraction form
    38,233.50/60,730.69 = 60,730.69/x
  3. Step 3: Cross multiply
    38,233.50x = 60,730.69 × 60,730.69
  4. Step 4: Simplify right side
    38,233.50x = 3,688,216,404.22
  5. Step 5: Solve for x
    x = 3,688,216,404.22/38,233.50
  6. Step 6: Final answer
    x = 96,465.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.