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Finding the Third Proportional to 1,018.83 and 1,560.09

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Solution

The third proportional to 1,018.83 and 1,560.09 is: 2,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.83 : 1,560.09 = 1,560.09 : x
  2. Step 2: Convert to fraction form
    1,018.83/1,560.09 = 1,560.09/x
  3. Step 3: Cross multiply
    1,018.83x = 1,560.09 × 1,560.09
  4. Step 4: Simplify right side
    1,018.83x = 2,433,892.51
  5. Step 5: Solve for x
    x = 2,433,892.51/1,018.83
  6. Step 6: Final answer
    x = 2,388.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.