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Finding the Third Proportional to 28,214 and 61,348

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Solution

The third proportional to 28,214 and 61,348 is: 133,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,214 : 61,348 = 61,348 : x
  2. Step 2: Convert to fraction form
    28,214/61,348 = 61,348/x
  3. Step 3: Cross multiply
    28,214x = 61,348 × 61,348
  4. Step 4: Simplify right side
    28,214x = 3,763,577,104
  5. Step 5: Solve for x
    x = 3,763,577,104/28,214
  6. Step 6: Final answer
    x = 133,393.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.