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Finding the Third Proportional to 30,522 and 65,645

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Solution

The third proportional to 30,522 and 65,645 is: 141,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522 : 65,645 = 65,645 : x
  2. Step 2: Convert to fraction form
    30,522/65,645 = 65,645/x
  3. Step 3: Cross multiply
    30,522x = 65,645 × 65,645
  4. Step 4: Simplify right side
    30,522x = 4,309,266,025
  5. Step 5: Solve for x
    x = 4,309,266,025/30,522
  6. Step 6: Final answer
    x = 141,185.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.