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Finding the Third Proportional to 28,380 and 60,345

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Solution

The third proportional to 28,380 and 60,345 is: 128,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,380 : 60,345 = 60,345 : x
  2. Step 2: Convert to fraction form
    28,380/60,345 = 60,345/x
  3. Step 3: Cross multiply
    28,380x = 60,345 × 60,345
  4. Step 4: Simplify right side
    28,380x = 3,641,519,025
  5. Step 5: Solve for x
    x = 3,641,519,025/28,380
  6. Step 6: Final answer
    x = 128,312.86

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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.