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Finding the Third Proportional to 30,192 and 45,216

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Solution

The third proportional to 30,192 and 45,216 is: 67,716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192 : 45,216 = 45,216 : x
  2. Step 2: Convert to fraction form
    30,192/45,216 = 45,216/x
  3. Step 3: Cross multiply
    30,192x = 45,216 × 45,216
  4. Step 4: Simplify right side
    30,192x = 2,044,486,656
  5. Step 5: Solve for x
    x = 2,044,486,656/30,192
  6. Step 6: Final answer
    x = 67,716.17

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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.