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Finding the Third Proportional to 48,696 and 65,025

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Solution

The third proportional to 48,696 and 65,025 is: 86,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696 : 65,025 = 65,025 : x
  2. Step 2: Convert to fraction form
    48,696/65,025 = 65,025/x
  3. Step 3: Cross multiply
    48,696x = 65,025 × 65,025
  4. Step 4: Simplify right side
    48,696x = 4,228,250,625
  5. Step 5: Solve for x
    x = 4,228,250,625/48,696
  6. Step 6: Final answer
    x = 86,829.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.