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Finding the Third Proportional to 30,808 and 67,480

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Solution

The third proportional to 30,808 and 67,480 is: 147,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,808 : 67,480 = 67,480 : x
  2. Step 2: Convert to fraction form
    30,808/67,480 = 67,480/x
  3. Step 3: Cross multiply
    30,808x = 67,480 × 67,480
  4. Step 4: Simplify right side
    30,808x = 4,553,550,400
  5. Step 5: Solve for x
    x = 4,553,550,400/30,808
  6. Step 6: Final answer
    x = 147,804.15

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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.