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Finding the Third Proportional to 39,592 and 59,196

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Solution

The third proportional to 39,592 and 59,196 is: 88,506.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,592 : 59,196 = 59,196 : x
  2. Step 2: Convert to fraction form
    39,592/59,196 = 59,196/x
  3. Step 3: Cross multiply
    39,592x = 59,196 × 59,196
  4. Step 4: Simplify right side
    39,592x = 3,504,166,416
  5. Step 5: Solve for x
    x = 3,504,166,416/39,592
  6. Step 6: Final answer
    x = 88,506.93

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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.