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Finding the Third Proportional to 30,656 and 67,054

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Solution

The third proportional to 30,656 and 67,054 is: 146,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 67,054 = 67,054 : x
  2. Step 2: Convert to fraction form
    30,656/67,054 = 67,054/x
  3. Step 3: Cross multiply
    30,656x = 67,054 × 67,054
  4. Step 4: Simplify right side
    30,656x = 4,496,238,916
  5. Step 5: Solve for x
    x = 4,496,238,916/30,656
  6. Step 6: Final answer
    x = 146,667.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.