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Finding the Third Proportional to 2,532 and 5,914

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Solution

The third proportional to 2,532 and 5,914 is: 13,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532 : 5,914 = 5,914 : x
  2. Step 2: Convert to fraction form
    2,532/5,914 = 5,914/x
  3. Step 3: Cross multiply
    2,532x = 5,914 × 5,914
  4. Step 4: Simplify right side
    2,532x = 34,975,396
  5. Step 5: Solve for x
    x = 34,975,396/2,532
  6. Step 6: Final answer
    x = 13,813.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.