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Finding the Third Proportional to 30,626 and 67,460

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Solution

The third proportional to 30,626 and 67,460 is: 148,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626 : 67,460 = 67,460 : x
  2. Step 2: Convert to fraction form
    30,626/67,460 = 67,460/x
  3. Step 3: Cross multiply
    30,626x = 67,460 × 67,460
  4. Step 4: Simplify right side
    30,626x = 4,550,851,600
  5. Step 5: Solve for x
    x = 4,550,851,600/30,626
  6. Step 6: Final answer
    x = 148,594.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.