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Finding the Third Proportional to 17,925.50 and 37,003

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Solution

The third proportional to 17,925.50 and 37,003 is: 76,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,925.50 : 37,003 = 37,003 : x
  2. Step 2: Convert to fraction form
    17,925.50/37,003 = 37,003/x
  3. Step 3: Cross multiply
    17,925.50x = 37,003 × 37,003
  4. Step 4: Simplify right side
    17,925.50x = 1,369,222,009
  5. Step 5: Solve for x
    x = 1,369,222,009/17,925.50
  6. Step 6: Final answer
    x = 76,384.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.