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Finding the Third Proportional to 30,215 and 65,621

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Solution

The third proportional to 30,215 and 65,621 is: 142,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215 : 65,621 = 65,621 : x
  2. Step 2: Convert to fraction form
    30,215/65,621 = 65,621/x
  3. Step 3: Cross multiply
    30,215x = 65,621 × 65,621
  4. Step 4: Simplify right side
    30,215x = 4,306,115,641
  5. Step 5: Solve for x
    x = 4,306,115,641/30,215
  6. Step 6: Final answer
    x = 142,515.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.