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Finding the Third Proportional to 26,529 and 41,407.50

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Solution

The third proportional to 26,529 and 41,407.50 is: 64,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,529 : 41,407.50 = 41,407.50 : x
  2. Step 2: Convert to fraction form
    26,529/41,407.50 = 41,407.50/x
  3. Step 3: Cross multiply
    26,529x = 41,407.50 × 41,407.50
  4. Step 4: Simplify right side
    26,529x = 1,714,581,056.25
  5. Step 5: Solve for x
    x = 1,714,581,056.25/26,529
  6. Step 6: Final answer
    x = 64,630.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.