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Finding the Third Proportional to 30,465 and 66,519

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Solution

The third proportional to 30,465 and 66,519 is: 145,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,465 : 66,519 = 66,519 : x
  2. Step 2: Convert to fraction form
    30,465/66,519 = 66,519/x
  3. Step 3: Cross multiply
    30,465x = 66,519 × 66,519
  4. Step 4: Simplify right side
    30,465x = 4,424,777,361
  5. Step 5: Solve for x
    x = 4,424,777,361/30,465
  6. Step 6: Final answer
    x = 145,241.34

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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.