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Finding the Third Proportional to 30,446 and 65,716

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Solution

The third proportional to 30,446 and 65,716 is: 141,844.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446 : 65,716 = 65,716 : x
  2. Step 2: Convert to fraction form
    30,446/65,716 = 65,716/x
  3. Step 3: Cross multiply
    30,446x = 65,716 × 65,716
  4. Step 4: Simplify right side
    30,446x = 4,318,592,656
  5. Step 5: Solve for x
    x = 4,318,592,656/30,446
  6. Step 6: Final answer
    x = 141,844.34

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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.