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Finding the Third Proportional to 32,215 and 48,172.50

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Solution

The third proportional to 32,215 and 48,172.50 is: 72,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,215 : 48,172.50 = 48,172.50 : x
  2. Step 2: Convert to fraction form
    32,215/48,172.50 = 48,172.50/x
  3. Step 3: Cross multiply
    32,215x = 48,172.50 × 48,172.50
  4. Step 4: Simplify right side
    32,215x = 2,320,589,756.25
  5. Step 5: Solve for x
    x = 2,320,589,756.25/32,215
  6. Step 6: Final answer
    x = 72,034.45

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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.