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Finding the Third Proportional to 32,031 and 48,039.75

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Solution

The third proportional to 32,031 and 48,039.75 is: 72,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,031 : 48,039.75 = 48,039.75 : x
  2. Step 2: Convert to fraction form
    32,031/48,039.75 = 48,039.75/x
  3. Step 3: Cross multiply
    32,031x = 48,039.75 × 48,039.75
  4. Step 4: Simplify right side
    32,031x = 2,307,817,580.06
  5. Step 5: Solve for x
    x = 2,307,817,580.06/32,031
  6. Step 6: Final answer
    x = 72,049.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.