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Finding the Third Proportional to 837.13 and 1,326.56

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Solution

The third proportional to 837.13 and 1,326.56 is: 2,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.13 : 1,326.56 = 1,326.56 : x
  2. Step 2: Convert to fraction form
    837.13/1,326.56 = 1,326.56/x
  3. Step 3: Cross multiply
    837.13x = 1,326.56 × 1,326.56
  4. Step 4: Simplify right side
    837.13x = 1,759,768.07
  5. Step 5: Solve for x
    x = 1,759,768.07/837.13
  6. Step 6: Final answer
    x = 2,102.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.