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Finding the Third Proportional to 43,283 and 67,658

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Solution

The third proportional to 43,283 and 67,658 is: 105,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,283 : 67,658 = 67,658 : x
  2. Step 2: Convert to fraction form
    43,283/67,658 = 67,658/x
  3. Step 3: Cross multiply
    43,283x = 67,658 × 67,658
  4. Step 4: Simplify right side
    43,283x = 4,577,604,964
  5. Step 5: Solve for x
    x = 4,577,604,964/43,283
  6. Step 6: Final answer
    x = 105,759.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.