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Finding the Third Proportional to 30,396 and 45,468

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Solution

The third proportional to 30,396 and 45,468 is: 68,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,396 : 45,468 = 45,468 : x
  2. Step 2: Convert to fraction form
    30,396/45,468 = 45,468/x
  3. Step 3: Cross multiply
    30,396x = 45,468 × 45,468
  4. Step 4: Simplify right side
    30,396x = 2,067,339,024
  5. Step 5: Solve for x
    x = 2,067,339,024/30,396
  6. Step 6: Final answer
    x = 68,013.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.