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Finding the Third Proportional to 837.03 and 1,598.09

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Solution

The third proportional to 837.03 and 1,598.09 is: 3,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.03 : 1,598.09 = 1,598.09 : x
  2. Step 2: Convert to fraction form
    837.03/1,598.09 = 1,598.09/x
  3. Step 3: Cross multiply
    837.03x = 1,598.09 × 1,598.09
  4. Step 4: Simplify right side
    837.03x = 2,553,903.63
  5. Step 5: Solve for x
    x = 2,553,903.63/837.03
  6. Step 6: Final answer
    x = 3,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.