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Finding the Third Proportional to 28,514 and 69,098

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Solution

The third proportional to 28,514 and 69,098 is: 167,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514 : 69,098 = 69,098 : x
  2. Step 2: Convert to fraction form
    28,514/69,098 = 69,098/x
  3. Step 3: Cross multiply
    28,514x = 69,098 × 69,098
  4. Step 4: Simplify right side
    28,514x = 4,774,533,604
  5. Step 5: Solve for x
    x = 4,774,533,604/28,514
  6. Step 6: Final answer
    x = 167,445.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.