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Finding the Third Proportional to 32,720 and 50,362.50

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Solution

The third proportional to 32,720 and 50,362.50 is: 77,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,720 : 50,362.50 = 50,362.50 : x
  2. Step 2: Convert to fraction form
    32,720/50,362.50 = 50,362.50/x
  3. Step 3: Cross multiply
    32,720x = 50,362.50 × 50,362.50
  4. Step 4: Simplify right side
    32,720x = 2,536,381,406.25
  5. Step 5: Solve for x
    x = 2,536,381,406.25/32,720
  6. Step 6: Final answer
    x = 77,517.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.