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Finding the Third Proportional to 43,413 and 67,656

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Solution

The third proportional to 43,413 and 67,656 is: 105,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,413 : 67,656 = 67,656 : x
  2. Step 2: Convert to fraction form
    43,413/67,656 = 67,656/x
  3. Step 3: Cross multiply
    43,413x = 67,656 × 67,656
  4. Step 4: Simplify right side
    43,413x = 4,577,334,336
  5. Step 5: Solve for x
    x = 4,577,334,336/43,413
  6. Step 6: Final answer
    x = 105,436.95

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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.