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Finding the Third Proportional to 32,723 and 48,039.50

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Solution

The third proportional to 32,723 and 48,039.50 is: 70,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,723 : 48,039.50 = 48,039.50 : x
  2. Step 2: Convert to fraction form
    32,723/48,039.50 = 48,039.50/x
  3. Step 3: Cross multiply
    32,723x = 48,039.50 × 48,039.50
  4. Step 4: Simplify right side
    32,723x = 2,307,793,560.25
  5. Step 5: Solve for x
    x = 2,307,793,560.25/32,723
  6. Step 6: Final answer
    x = 70,525.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.