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Finding the Third Proportional to 16,076 and 25,555

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Solution

The third proportional to 16,076 and 25,555 is: 40,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 25,555 = 25,555 : x
  2. Step 2: Convert to fraction form
    16,076/25,555 = 25,555/x
  3. Step 3: Cross multiply
    16,076x = 25,555 × 25,555
  4. Step 4: Simplify right side
    16,076x = 653,058,025
  5. Step 5: Solve for x
    x = 653,058,025/16,076
  6. Step 6: Final answer
    x = 40,623.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.