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Finding the Third Proportional to 30,084.75 and 64,983

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Solution

The third proportional to 30,084.75 and 64,983 is: 140,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.75 : 64,983 = 64,983 : x
  2. Step 2: Convert to fraction form
    30,084.75/64,983 = 64,983/x
  3. Step 3: Cross multiply
    30,084.75x = 64,983 × 64,983
  4. Step 4: Simplify right side
    30,084.75x = 4,222,790,289
  5. Step 5: Solve for x
    x = 4,222,790,289/30,084.75
  6. Step 6: Final answer
    x = 140,363.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.