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Finding the Third Proportional to 1,840.88 and 3,929.81

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Solution

The third proportional to 1,840.88 and 3,929.81 is: 8,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.88 : 3,929.81 = 3,929.81 : x
  2. Step 2: Convert to fraction form
    1,840.88/3,929.81 = 3,929.81/x
  3. Step 3: Cross multiply
    1,840.88x = 3,929.81 × 3,929.81
  4. Step 4: Simplify right side
    1,840.88x = 15,443,426.29
  5. Step 5: Solve for x
    x = 15,443,426.29/1,840.88
  6. Step 6: Final answer
    x = 8,389.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.