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Finding the Third Proportional to 30,915 and 67,662

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Solution

The third proportional to 30,915 and 67,662 is: 148,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915 : 67,662 = 67,662 : x
  2. Step 2: Convert to fraction form
    30,915/67,662 = 67,662/x
  3. Step 3: Cross multiply
    30,915x = 67,662 × 67,662
  4. Step 4: Simplify right side
    30,915x = 4,578,146,244
  5. Step 5: Solve for x
    x = 4,578,146,244/30,915
  6. Step 6: Final answer
    x = 148,088.19

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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.