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Finding the Third Proportional to 39,187.50 and 58,689.50

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Solution

The third proportional to 39,187.50 and 58,689.50 is: 87,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,187.50 : 58,689.50 = 58,689.50 : x
  2. Step 2: Convert to fraction form
    39,187.50/58,689.50 = 58,689.50/x
  3. Step 3: Cross multiply
    39,187.50x = 58,689.50 × 58,689.50
  4. Step 4: Simplify right side
    39,187.50x = 3,444,457,410.25
  5. Step 5: Solve for x
    x = 3,444,457,410.25/39,187.50
  6. Step 6: Final answer
    x = 87,896.84

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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.