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Finding the Third Proportional to 25,187 and 39,313

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Solution

The third proportional to 25,187 and 39,313 is: 61,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187 : 39,313 = 39,313 : x
  2. Step 2: Convert to fraction form
    25,187/39,313 = 39,313/x
  3. Step 3: Cross multiply
    25,187x = 39,313 × 39,313
  4. Step 4: Simplify right side
    25,187x = 1,545,511,969
  5. Step 5: Solve for x
    x = 1,545,511,969/25,187
  6. Step 6: Final answer
    x = 61,361.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.