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Finding the Third Proportional to 39,196.50 and 59,159.50

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Solution

The third proportional to 39,196.50 and 59,159.50 is: 89,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196.50 : 59,159.50 = 59,159.50 : x
  2. Step 2: Convert to fraction form
    39,196.50/59,159.50 = 59,159.50/x
  3. Step 3: Cross multiply
    39,196.50x = 59,159.50 × 59,159.50
  4. Step 4: Simplify right side
    39,196.50x = 3,499,846,440.25
  5. Step 5: Solve for x
    x = 3,499,846,440.25/39,196.50
  6. Step 6: Final answer
    x = 89,289.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.