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Finding the Third Proportional to 1,606.13 and 2,486.06

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Solution

The third proportional to 1,606.13 and 2,486.06 is: 3,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.13 : 2,486.06 = 2,486.06 : x
  2. Step 2: Convert to fraction form
    1,606.13/2,486.06 = 2,486.06/x
  3. Step 3: Cross multiply
    1,606.13x = 2,486.06 × 2,486.06
  4. Step 4: Simplify right side
    1,606.13x = 6,180,506.75
  5. Step 5: Solve for x
    x = 6,180,506.75/1,606.13
  6. Step 6: Final answer
    x = 3,848.09

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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.