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Finding the Third Proportional to 9,226.41 and 10,038.94

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Solution

The third proportional to 9,226.41 and 10,038.94 is: 10,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.41 : 10,038.94 = 10,038.94 : x
  2. Step 2: Convert to fraction form
    9,226.41/10,038.94 = 10,038.94/x
  3. Step 3: Cross multiply
    9,226.41x = 10,038.94 × 10,038.94
  4. Step 4: Simplify right side
    9,226.41x = 100,780,266.13
  5. Step 5: Solve for x
    x = 100,780,266.13/9,226.41
  6. Step 6: Final answer
    x = 10,923.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.