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Finding the Third Proportional to 1,957.83 and 3,036.16

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Solution

The third proportional to 1,957.83 and 3,036.16 is: 4,708.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.83 : 3,036.16 = 3,036.16 : x
  2. Step 2: Convert to fraction form
    1,957.83/3,036.16 = 3,036.16/x
  3. Step 3: Cross multiply
    1,957.83x = 3,036.16 × 3,036.16
  4. Step 4: Simplify right side
    1,957.83x = 9,218,292.21
  5. Step 5: Solve for x
    x = 9,218,292.21/1,957.83
  6. Step 6: Final answer
    x = 4,708.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.