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Finding the Third Proportional to 30,477 and 66,543

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Solution

The third proportional to 30,477 and 66,543 is: 145,288.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,477 : 66,543 = 66,543 : x
  2. Step 2: Convert to fraction form
    30,477/66,543 = 66,543/x
  3. Step 3: Cross multiply
    30,477x = 66,543 × 66,543
  4. Step 4: Simplify right side
    30,477x = 4,427,970,849
  5. Step 5: Solve for x
    x = 4,427,970,849/30,477
  6. Step 6: Final answer
    x = 145,288.93

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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.