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Finding the Third Proportional to 5,004 and 10,280

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Solution

The third proportional to 5,004 and 10,280 is: 21,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004 : 10,280 = 10,280 : x
  2. Step 2: Convert to fraction form
    5,004/10,280 = 10,280/x
  3. Step 3: Cross multiply
    5,004x = 10,280 × 10,280
  4. Step 4: Simplify right side
    5,004x = 105,678,400
  5. Step 5: Solve for x
    x = 105,678,400/5,004
  6. Step 6: Final answer
    x = 21,118.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.