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Finding the Third Proportional to 43,660 and 65,346

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Solution

The third proportional to 43,660 and 65,346 is: 97,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,660 : 65,346 = 65,346 : x
  2. Step 2: Convert to fraction form
    43,660/65,346 = 65,346/x
  3. Step 3: Cross multiply
    43,660x = 65,346 × 65,346
  4. Step 4: Simplify right side
    43,660x = 4,270,099,716
  5. Step 5: Solve for x
    x = 4,270,099,716/43,660
  6. Step 6: Final answer
    x = 97,803.47

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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.