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Finding the Third Proportional to 32,701.50 and 42,795

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Solution

The third proportional to 32,701.50 and 42,795 is: 56,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.50 : 42,795 = 42,795 : x
  2. Step 2: Convert to fraction form
    32,701.50/42,795 = 42,795/x
  3. Step 3: Cross multiply
    32,701.50x = 42,795 × 42,795
  4. Step 4: Simplify right side
    32,701.50x = 1,831,412,025
  5. Step 5: Solve for x
    x = 1,831,412,025/32,701.50
  6. Step 6: Final answer
    x = 56,003.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.