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Finding the Third Proportional to 43,696 and 65,522

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Solution

The third proportional to 43,696 and 65,522 is: 98,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,696 : 65,522 = 65,522 : x
  2. Step 2: Convert to fraction form
    43,696/65,522 = 65,522/x
  3. Step 3: Cross multiply
    43,696x = 65,522 × 65,522
  4. Step 4: Simplify right side
    43,696x = 4,293,132,484
  5. Step 5: Solve for x
    x = 4,293,132,484/43,696
  6. Step 6: Final answer
    x = 98,250.01

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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.