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Finding the Third Proportional to 1,135.50 and 1,795.13

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Solution

The third proportional to 1,135.50 and 1,795.13 is: 2,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.50 : 1,795.13 = 1,795.13 : x
  2. Step 2: Convert to fraction form
    1,135.50/1,795.13 = 1,795.13/x
  3. Step 3: Cross multiply
    1,135.50x = 1,795.13 × 1,795.13
  4. Step 4: Simplify right side
    1,135.50x = 3,222,473.77
  5. Step 5: Solve for x
    x = 3,222,473.77/1,135.50
  6. Step 6: Final answer
    x = 2,837.93

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.