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Finding the Third Proportional to 32,030.50 and 50,896.50

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Solution

The third proportional to 32,030.50 and 50,896.50 is: 80,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.50 : 50,896.50 = 50,896.50 : x
  2. Step 2: Convert to fraction form
    32,030.50/50,896.50 = 50,896.50/x
  3. Step 3: Cross multiply
    32,030.50x = 50,896.50 × 50,896.50
  4. Step 4: Simplify right side
    32,030.50x = 2,590,453,712.25
  5. Step 5: Solve for x
    x = 2,590,453,712.25/32,030.50
  6. Step 6: Final answer
    x = 80,874.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.