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Finding the Third Proportional to 30,612 and 65,889

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Solution

The third proportional to 30,612 and 65,889 is: 141,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612 : 65,889 = 65,889 : x
  2. Step 2: Convert to fraction form
    30,612/65,889 = 65,889/x
  3. Step 3: Cross multiply
    30,612x = 65,889 × 65,889
  4. Step 4: Simplify right side
    30,612x = 4,341,360,321
  5. Step 5: Solve for x
    x = 4,341,360,321/30,612
  6. Step 6: Final answer
    x = 141,818.91

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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.