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Finding the Third Proportional to 32,557.50 and 48,937

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Solution

The third proportional to 32,557.50 and 48,937 is: 73,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,557.50 : 48,937 = 48,937 : x
  2. Step 2: Convert to fraction form
    32,557.50/48,937 = 48,937/x
  3. Step 3: Cross multiply
    32,557.50x = 48,937 × 48,937
  4. Step 4: Simplify right side
    32,557.50x = 2,394,829,969
  5. Step 5: Solve for x
    x = 2,394,829,969/32,557.50
  6. Step 6: Final answer
    x = 73,556.94

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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.