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Finding the Third Proportional to 43,658 and 65,850

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Solution

The third proportional to 43,658 and 65,850 is: 99,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,658 : 65,850 = 65,850 : x
  2. Step 2: Convert to fraction form
    43,658/65,850 = 65,850/x
  3. Step 3: Cross multiply
    43,658x = 65,850 × 65,850
  4. Step 4: Simplify right side
    43,658x = 4,336,222,500
  5. Step 5: Solve for x
    x = 4,336,222,500/43,658
  6. Step 6: Final answer
    x = 99,322.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.