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Finding the Third Proportional to 1,651.22 and 2,477.16

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Solution

The third proportional to 1,651.22 and 2,477.16 is: 3,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.22 : 2,477.16 = 2,477.16 : x
  2. Step 2: Convert to fraction form
    1,651.22/2,477.16 = 2,477.16/x
  3. Step 3: Cross multiply
    1,651.22x = 2,477.16 × 2,477.16
  4. Step 4: Simplify right side
    1,651.22x = 6,136,303.09
  5. Step 5: Solve for x
    x = 6,136,303.09/1,651.22
  6. Step 6: Final answer
    x = 3,716.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.