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Finding the Third Proportional to 9,320.50 and 18,634

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Solution

The third proportional to 9,320.50 and 18,634 is: 37,254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.50 : 18,634 = 18,634 : x
  2. Step 2: Convert to fraction form
    9,320.50/18,634 = 18,634/x
  3. Step 3: Cross multiply
    9,320.50x = 18,634 × 18,634
  4. Step 4: Simplify right side
    9,320.50x = 347,225,956
  5. Step 5: Solve for x
    x = 347,225,956/9,320.50
  6. Step 6: Final answer
    x = 37,254.01

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.