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Finding the Third Proportional to 2,110.11 and 4,929.29

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Solution

The third proportional to 2,110.11 and 4,929.29 is: 11,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.11 : 4,929.29 = 4,929.29 : x
  2. Step 2: Convert to fraction form
    2,110.11/4,929.29 = 4,929.29/x
  3. Step 3: Cross multiply
    2,110.11x = 4,929.29 × 4,929.29
  4. Step 4: Simplify right side
    2,110.11x = 24,297,929.17
  5. Step 5: Solve for x
    x = 24,297,929.17/2,110.11
  6. Step 6: Final answer
    x = 11,514.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.