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Finding the Third Proportional to 30,630 and 66,729

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Solution

The third proportional to 30,630 and 66,729 is: 145,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,630 : 66,729 = 66,729 : x
  2. Step 2: Convert to fraction form
    30,630/66,729 = 66,729/x
  3. Step 3: Cross multiply
    30,630x = 66,729 × 66,729
  4. Step 4: Simplify right side
    30,630x = 4,452,759,441
  5. Step 5: Solve for x
    x = 4,452,759,441/30,630
  6. Step 6: Final answer
    x = 145,372.49

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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.