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Finding the Third Proportional to 30,909 and 67,488

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Solution

The third proportional to 30,909 and 67,488 is: 147,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909 : 67,488 = 67,488 : x
  2. Step 2: Convert to fraction form
    30,909/67,488 = 67,488/x
  3. Step 3: Cross multiply
    30,909x = 67,488 × 67,488
  4. Step 4: Simplify right side
    30,909x = 4,554,630,144
  5. Step 5: Solve for x
    x = 4,554,630,144/30,909
  6. Step 6: Final answer
    x = 147,356.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.