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Finding the Third Proportional to 1,929.56 and 4,158.94

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Solution

The third proportional to 1,929.56 and 4,158.94 is: 8,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,929.56 : 4,158.94 = 4,158.94 : x
  2. Step 2: Convert to fraction form
    1,929.56/4,158.94 = 4,158.94/x
  3. Step 3: Cross multiply
    1,929.56x = 4,158.94 × 4,158.94
  4. Step 4: Simplify right side
    1,929.56x = 17,296,761.13
  5. Step 5: Solve for x
    x = 17,296,761.13/1,929.56
  6. Step 6: Final answer
    x = 8,964.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.