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Finding the Third Proportional to 30,296 and 64,264

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Solution

The third proportional to 30,296 and 64,264 is: 136,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296 : 64,264 = 64,264 : x
  2. Step 2: Convert to fraction form
    30,296/64,264 = 64,264/x
  3. Step 3: Cross multiply
    30,296x = 64,264 × 64,264
  4. Step 4: Simplify right side
    30,296x = 4,129,861,696
  5. Step 5: Solve for x
    x = 4,129,861,696/30,296
  6. Step 6: Final answer
    x = 136,317.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.