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Finding the Third Proportional to 9,598 and 20,803

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Solution

The third proportional to 9,598 and 20,803 is: 45,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598 : 20,803 = 20,803 : x
  2. Step 2: Convert to fraction form
    9,598/20,803 = 20,803/x
  3. Step 3: Cross multiply
    9,598x = 20,803 × 20,803
  4. Step 4: Simplify right side
    9,598x = 432,764,809
  5. Step 5: Solve for x
    x = 432,764,809/9,598
  6. Step 6: Final answer
    x = 45,089.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.