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Finding the Third Proportional to 9,044.16 and 19,472.91

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Solution

The third proportional to 9,044.16 and 19,472.91 is: 41,926.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.16 : 19,472.91 = 19,472.91 : x
  2. Step 2: Convert to fraction form
    9,044.16/19,472.91 = 19,472.91/x
  3. Step 3: Cross multiply
    9,044.16x = 19,472.91 × 19,472.91
  4. Step 4: Simplify right side
    9,044.16x = 379,194,077.82
  5. Step 5: Solve for x
    x = 379,194,077.82/9,044.16
  6. Step 6: Final answer
    x = 41,926.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.