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Finding the Third Proportional to 32,031 and 73,728

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Solution

The third proportional to 32,031 and 73,728 is: 169,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 73,728 = 73,728 : x
  2. Step 2: Convert to fraction form
    32,031/73,728 = 73,728/x
  3. Step 3: Cross multiply
    32,031x = 73,728 × 73,728
  4. Step 4: Simplify right side
    32,031x = 5,435,817,984
  5. Step 5: Solve for x
    x = 5,435,817,984/32,031
  6. Step 6: Final answer
    x = 169,704.91

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.