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Finding the Third Proportional to 19,164 and 25,753

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Solution

The third proportional to 19,164 and 25,753 is: 34,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,164 : 25,753 = 25,753 : x
  2. Step 2: Convert to fraction form
    19,164/25,753 = 25,753/x
  3. Step 3: Cross multiply
    19,164x = 25,753 × 25,753
  4. Step 4: Simplify right side
    19,164x = 663,217,009
  5. Step 5: Solve for x
    x = 663,217,009/19,164
  6. Step 6: Final answer
    x = 34,607.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.