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Finding the Third Proportional to 17,815.50 and 32,148

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Solution

The third proportional to 17,815.50 and 32,148 is: 58,010.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,815.50 : 32,148 = 32,148 : x
  2. Step 2: Convert to fraction form
    17,815.50/32,148 = 32,148/x
  3. Step 3: Cross multiply
    17,815.50x = 32,148 × 32,148
  4. Step 4: Simplify right side
    17,815.50x = 1,033,493,904
  5. Step 5: Solve for x
    x = 1,033,493,904/17,815.50
  6. Step 6: Final answer
    x = 58,010.94

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.