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Finding the Third Proportional to 18,700.56 and 37,822.57

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Solution

The third proportional to 18,700.56 and 37,822.57 is: 76,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,700.56 : 37,822.57 = 37,822.57 : x
  2. Step 2: Convert to fraction form
    18,700.56/37,822.57 = 37,822.57/x
  3. Step 3: Cross multiply
    18,700.56x = 37,822.57 × 37,822.57
  4. Step 4: Simplify right side
    18,700.56x = 1,430,546,825.04
  5. Step 5: Solve for x
    x = 1,430,546,825.04/18,700.56
  6. Step 6: Final answer
    x = 76,497.55

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.