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Finding the Third Proportional to 9,122.63 and 19,974.38

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Solution

The third proportional to 9,122.63 and 19,974.38 is: 43,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.63 : 19,974.38 = 19,974.38 : x
  2. Step 2: Convert to fraction form
    9,122.63/19,974.38 = 19,974.38/x
  3. Step 3: Cross multiply
    9,122.63x = 19,974.38 × 19,974.38
  4. Step 4: Simplify right side
    9,122.63x = 398,975,656.64
  5. Step 5: Solve for x
    x = 398,975,656.64/9,122.63
  6. Step 6: Final answer
    x = 43,734.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.