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Finding the Third Proportional to 32,769 and 70,207.50

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Solution

The third proportional to 32,769 and 70,207.50 is: 150,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769 : 70,207.50 = 70,207.50 : x
  2. Step 2: Convert to fraction form
    32,769/70,207.50 = 70,207.50/x
  3. Step 3: Cross multiply
    32,769x = 70,207.50 × 70,207.50
  4. Step 4: Simplify right side
    32,769x = 4,929,093,056.25
  5. Step 5: Solve for x
    x = 4,929,093,056.25/32,769
  6. Step 6: Final answer
    x = 150,419.39

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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.