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Finding the Third Proportional to 851.81 and 1,159.03

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Solution

The third proportional to 851.81 and 1,159.03 is: 1,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.81 : 1,159.03 = 1,159.03 : x
  2. Step 2: Convert to fraction form
    851.81/1,159.03 = 1,159.03/x
  3. Step 3: Cross multiply
    851.81x = 1,159.03 × 1,159.03
  4. Step 4: Simplify right side
    851.81x = 1,343,353.44
  5. Step 5: Solve for x
    x = 1,343,353.44/851.81
  6. Step 6: Final answer
    x = 1,577.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.