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Finding the Third Proportional to 39,646.88 and 57,981.75

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Solution

The third proportional to 39,646.88 and 57,981.75 is: 84,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.88 : 57,981.75 = 57,981.75 : x
  2. Step 2: Convert to fraction form
    39,646.88/57,981.75 = 57,981.75/x
  3. Step 3: Cross multiply
    39,646.88x = 57,981.75 × 57,981.75
  4. Step 4: Simplify right side
    39,646.88x = 3,361,883,333.06
  5. Step 5: Solve for x
    x = 3,361,883,333.06/39,646.88
  6. Step 6: Final answer
    x = 84,795.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.