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Finding the Third Proportional to 1,164.56 and 2,459.53

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Solution

The third proportional to 1,164.56 and 2,459.53 is: 5,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.56 : 2,459.53 = 2,459.53 : x
  2. Step 2: Convert to fraction form
    1,164.56/2,459.53 = 2,459.53/x
  3. Step 3: Cross multiply
    1,164.56x = 2,459.53 × 2,459.53
  4. Step 4: Simplify right side
    1,164.56x = 6,049,293.97
  5. Step 5: Solve for x
    x = 6,049,293.97/1,164.56
  6. Step 6: Final answer
    x = 5,194.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.