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Finding the Third Proportional to 30,912 and 67,604

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Solution

The third proportional to 30,912 and 67,604 is: 147,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,912 : 67,604 = 67,604 : x
  2. Step 2: Convert to fraction form
    30,912/67,604 = 67,604/x
  3. Step 3: Cross multiply
    30,912x = 67,604 × 67,604
  4. Step 4: Simplify right side
    30,912x = 4,570,300,816
  5. Step 5: Solve for x
    x = 4,570,300,816/30,912
  6. Step 6: Final answer
    x = 147,848.76

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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.