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Finding the Third Proportional to 846.64 and 1,629.22

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Solution

The third proportional to 846.64 and 1,629.22 is: 3,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.64 : 1,629.22 = 1,629.22 : x
  2. Step 2: Convert to fraction form
    846.64/1,629.22 = 1,629.22/x
  3. Step 3: Cross multiply
    846.64x = 1,629.22 × 1,629.22
  4. Step 4: Simplify right side
    846.64x = 2,654,342.60
  5. Step 5: Solve for x
    x = 2,654,342.60/846.64
  6. Step 6: Final answer
    x = 3,135.13

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.