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Finding the Third Proportional to 28,276 and 60,296

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Solution

The third proportional to 28,276 and 60,296 is: 128,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,276 : 60,296 = 60,296 : x
  2. Step 2: Convert to fraction form
    28,276/60,296 = 60,296/x
  3. Step 3: Cross multiply
    28,276x = 60,296 × 60,296
  4. Step 4: Simplify right side
    28,276x = 3,635,607,616
  5. Step 5: Solve for x
    x = 3,635,607,616/28,276
  6. Step 6: Final answer
    x = 128,575.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.