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Finding the Third Proportional to 1,621.69 and 3,507.47

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Solution

The third proportional to 1,621.69 and 3,507.47 is: 7,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.69 : 3,507.47 = 3,507.47 : x
  2. Step 2: Convert to fraction form
    1,621.69/3,507.47 = 3,507.47/x
  3. Step 3: Cross multiply
    1,621.69x = 3,507.47 × 3,507.47
  4. Step 4: Simplify right side
    1,621.69x = 12,302,337.03
  5. Step 5: Solve for x
    x = 12,302,337.03/1,621.69
  6. Step 6: Final answer
    x = 7,586.13

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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.