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Finding the Third Proportional to 926.06 and 2,011.13

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Solution

The third proportional to 926.06 and 2,011.13 is: 4,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.06 : 2,011.13 = 2,011.13 : x
  2. Step 2: Convert to fraction form
    926.06/2,011.13 = 2,011.13/x
  3. Step 3: Cross multiply
    926.06x = 2,011.13 × 2,011.13
  4. Step 4: Simplify right side
    926.06x = 4,044,623.77
  5. Step 5: Solve for x
    x = 4,044,623.77/926.06
  6. Step 6: Final answer
    x = 4,367.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.