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Finding the Third Proportional to 14,200 and 30,346

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Solution

The third proportional to 14,200 and 30,346 is: 64,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200 : 30,346 = 30,346 : x
  2. Step 2: Convert to fraction form
    14,200/30,346 = 30,346/x
  3. Step 3: Cross multiply
    14,200x = 30,346 × 30,346
  4. Step 4: Simplify right side
    14,200x = 920,879,716
  5. Step 5: Solve for x
    x = 920,879,716/14,200
  6. Step 6: Final answer
    x = 64,850.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.