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Finding the Third Proportional to 32,764.50 and 70,203

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Solution

The third proportional to 32,764.50 and 70,203 is: 150,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.50 : 70,203 = 70,203 : x
  2. Step 2: Convert to fraction form
    32,764.50/70,203 = 70,203/x
  3. Step 3: Cross multiply
    32,764.50x = 70,203 × 70,203
  4. Step 4: Simplify right side
    32,764.50x = 4,928,461,209
  5. Step 5: Solve for x
    x = 4,928,461,209/32,764.50
  6. Step 6: Final answer
    x = 150,420.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.