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Finding the Third Proportional to 39,848.50 and 59,696

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Solution

The third proportional to 39,848.50 and 59,696 is: 89,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,848.50 : 59,696 = 59,696 : x
  2. Step 2: Convert to fraction form
    39,848.50/59,696 = 59,696/x
  3. Step 3: Cross multiply
    39,848.50x = 59,696 × 59,696
  4. Step 4: Simplify right side
    39,848.50x = 3,563,612,416
  5. Step 5: Solve for x
    x = 3,563,612,416/39,848.50
  6. Step 6: Final answer
    x = 89,429.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.