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Finding the Third Proportional to 28,670 and 64,390

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Solution

The third proportional to 28,670 and 64,390 is: 144,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,670 : 64,390 = 64,390 : x
  2. Step 2: Convert to fraction form
    28,670/64,390 = 64,390/x
  3. Step 3: Cross multiply
    28,670x = 64,390 × 64,390
  4. Step 4: Simplify right side
    28,670x = 4,146,072,100
  5. Step 5: Solve for x
    x = 4,146,072,100/28,670
  6. Step 6: Final answer
    x = 144,613.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.