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Finding the Third Proportional to 25,814 and 38,937

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Solution

The third proportional to 25,814 and 38,937 is: 58,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814 : 38,937 = 38,937 : x
  2. Step 2: Convert to fraction form
    25,814/38,937 = 38,937/x
  3. Step 3: Cross multiply
    25,814x = 38,937 × 38,937
  4. Step 4: Simplify right side
    25,814x = 1,516,089,969
  5. Step 5: Solve for x
    x = 1,516,089,969/25,814
  6. Step 6: Final answer
    x = 58,731.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.