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Finding the Third Proportional to 19,280 and 25,644

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Solution

The third proportional to 19,280 and 25,644 is: 34,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,280 : 25,644 = 25,644 : x
  2. Step 2: Convert to fraction form
    19,280/25,644 = 25,644/x
  3. Step 3: Cross multiply
    19,280x = 25,644 × 25,644
  4. Step 4: Simplify right side
    19,280x = 657,614,736
  5. Step 5: Solve for x
    x = 657,614,736/19,280
  6. Step 6: Final answer
    x = 34,108.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.