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Finding the Third Proportional to 30,215 and 64,805

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Solution

The third proportional to 30,215 and 64,805 is: 138,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215 : 64,805 = 64,805 : x
  2. Step 2: Convert to fraction form
    30,215/64,805 = 64,805/x
  3. Step 3: Cross multiply
    30,215x = 64,805 × 64,805
  4. Step 4: Simplify right side
    30,215x = 4,199,688,025
  5. Step 5: Solve for x
    x = 4,199,688,025/30,215
  6. Step 6: Final answer
    x = 138,993.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.