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Finding the Third Proportional to 1,606.88 and 3,521.47

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Solution

The third proportional to 1,606.88 and 3,521.47 is: 7,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.88 : 3,521.47 = 3,521.47 : x
  2. Step 2: Convert to fraction form
    1,606.88/3,521.47 = 3,521.47/x
  3. Step 3: Cross multiply
    1,606.88x = 3,521.47 × 3,521.47
  4. Step 4: Simplify right side
    1,606.88x = 12,400,742.16
  5. Step 5: Solve for x
    x = 12,400,742.16/1,606.88
  6. Step 6: Final answer
    x = 7,717.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.