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Finding the Third Proportional to 9,197.57 and 19,490.78

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Solution

The third proportional to 9,197.57 and 19,490.78 is: 41,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.57 : 19,490.78 = 19,490.78 : x
  2. Step 2: Convert to fraction form
    9,197.57/19,490.78 = 19,490.78/x
  3. Step 3: Cross multiply
    9,197.57x = 19,490.78 × 19,490.78
  4. Step 4: Simplify right side
    9,197.57x = 379,890,629.87
  5. Step 5: Solve for x
    x = 379,890,629.87/9,197.57
  6. Step 6: Final answer
    x = 41,303.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.