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Finding the Third Proportional to 1,395.98 and 2,036.07

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Solution

The third proportional to 1,395.98 and 2,036.07 is: 2,969.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.98 : 2,036.07 = 2,036.07 : x
  2. Step 2: Convert to fraction form
    1,395.98/2,036.07 = 2,036.07/x
  3. Step 3: Cross multiply
    1,395.98x = 2,036.07 × 2,036.07
  4. Step 4: Simplify right side
    1,395.98x = 4,145,598.22
  5. Step 5: Solve for x
    x = 4,145,598.22/1,395.98
  6. Step 6: Final answer
    x = 2,969.66

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.