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Finding the Third Proportional to 28,590 and 59,166

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Solution

The third proportional to 28,590 and 59,166 is: 122,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590 : 59,166 = 59,166 : x
  2. Step 2: Convert to fraction form
    28,590/59,166 = 59,166/x
  3. Step 3: Cross multiply
    28,590x = 59,166 × 59,166
  4. Step 4: Simplify right side
    28,590x = 3,500,615,556
  5. Step 5: Solve for x
    x = 3,500,615,556/28,590
  6. Step 6: Final answer
    x = 122,441.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.