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Finding the Third Proportional to 9,155.53 and 18,797.06

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Solution

The third proportional to 9,155.53 and 18,797.06 is: 38,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.53 : 18,797.06 = 18,797.06 : x
  2. Step 2: Convert to fraction form
    9,155.53/18,797.06 = 18,797.06/x
  3. Step 3: Cross multiply
    9,155.53x = 18,797.06 × 18,797.06
  4. Step 4: Simplify right side
    9,155.53x = 353,329,558.63
  5. Step 5: Solve for x
    x = 353,329,558.63/9,155.53
  6. Step 6: Final answer
    x = 38,591.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.