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Finding the Third Proportional to 32,956 and 70,604

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Solution

The third proportional to 32,956 and 70,604 is: 151,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,956 : 70,604 = 70,604 : x
  2. Step 2: Convert to fraction form
    32,956/70,604 = 70,604/x
  3. Step 3: Cross multiply
    32,956x = 70,604 × 70,604
  4. Step 4: Simplify right side
    32,956x = 4,984,924,816
  5. Step 5: Solve for x
    x = 4,984,924,816/32,956
  6. Step 6: Final answer
    x = 151,260.01

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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.