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Finding the Third Proportional to 1,636.93 and 3,533.39

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Solution

The third proportional to 1,636.93 and 3,533.39 is: 7,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.93 : 3,533.39 = 3,533.39 : x
  2. Step 2: Convert to fraction form
    1,636.93/3,533.39 = 3,533.39/x
  3. Step 3: Cross multiply
    1,636.93x = 3,533.39 × 3,533.39
  4. Step 4: Simplify right side
    1,636.93x = 12,484,828.61
  5. Step 5: Solve for x
    x = 12,484,828.61/1,636.93
  6. Step 6: Final answer
    x = 7,626.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.