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Finding the Third Proportional to 28,573 and 63,770

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Solution

The third proportional to 28,573 and 63,770 is: 142,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,573 : 63,770 = 63,770 : x
  2. Step 2: Convert to fraction form
    28,573/63,770 = 63,770/x
  3. Step 3: Cross multiply
    28,573x = 63,770 × 63,770
  4. Step 4: Simplify right side
    28,573x = 4,066,612,900
  5. Step 5: Solve for x
    x = 4,066,612,900/28,573
  6. Step 6: Final answer
    x = 142,323.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.