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Finding the Third Proportional to 25,111 and 40,137

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Solution

The third proportional to 25,111 and 40,137 is: 64,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,111 : 40,137 = 40,137 : x
  2. Step 2: Convert to fraction form
    25,111/40,137 = 40,137/x
  3. Step 3: Cross multiply
    25,111x = 40,137 × 40,137
  4. Step 4: Simplify right side
    25,111x = 1,610,978,769
  5. Step 5: Solve for x
    x = 1,610,978,769/25,111
  6. Step 6: Final answer
    x = 64,154.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.