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Finding the Third Proportional to 736.12 and 1,106.31

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Solution

The third proportional to 736.12 and 1,106.31 is: 1,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.12 : 1,106.31 = 1,106.31 : x
  2. Step 2: Convert to fraction form
    736.12/1,106.31 = 1,106.31/x
  3. Step 3: Cross multiply
    736.12x = 1,106.31 × 1,106.31
  4. Step 4: Simplify right side
    736.12x = 1,223,931.67
  5. Step 5: Solve for x
    x = 1,223,931.67/736.12
  6. Step 6: Final answer
    x = 1,662.68

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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.