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Finding the Third Proportional to 1,160.23 and 2,539.76

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Solution

The third proportional to 1,160.23 and 2,539.76 is: 5,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.23 : 2,539.76 = 2,539.76 : x
  2. Step 2: Convert to fraction form
    1,160.23/2,539.76 = 2,539.76/x
  3. Step 3: Cross multiply
    1,160.23x = 2,539.76 × 2,539.76
  4. Step 4: Simplify right side
    1,160.23x = 6,450,369.75
  5. Step 5: Solve for x
    x = 6,450,369.75/1,160.23
  6. Step 6: Final answer
    x = 5,559.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.