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Finding the Third Proportional to 15,077 and 31,529.50

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Solution

The third proportional to 15,077 and 31,529.50 is: 65,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077 : 31,529.50 = 31,529.50 : x
  2. Step 2: Convert to fraction form
    15,077/31,529.50 = 31,529.50/x
  3. Step 3: Cross multiply
    15,077x = 31,529.50 × 31,529.50
  4. Step 4: Simplify right side
    15,077x = 994,109,370.25
  5. Step 5: Solve for x
    x = 994,109,370.25/15,077
  6. Step 6: Final answer
    x = 65,935.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.