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Finding the Third Proportional to 30,965 and 45,150

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Solution

The third proportional to 30,965 and 45,150 is: 65,833.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,965 : 45,150 = 45,150 : x
  2. Step 2: Convert to fraction form
    30,965/45,150 = 45,150/x
  3. Step 3: Cross multiply
    30,965x = 45,150 × 45,150
  4. Step 4: Simplify right side
    30,965x = 2,038,522,500
  5. Step 5: Solve for x
    x = 2,038,522,500/30,965
  6. Step 6: Final answer
    x = 65,833.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.