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Finding the Third Proportional to 14,004 and 21,298

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Solution

The third proportional to 14,004 and 21,298 is: 32,391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 21,298 = 21,298 : x
  2. Step 2: Convert to fraction form
    14,004/21,298 = 21,298/x
  3. Step 3: Cross multiply
    14,004x = 21,298 × 21,298
  4. Step 4: Simplify right side
    14,004x = 453,604,804
  5. Step 5: Solve for x
    x = 453,604,804/14,004
  6. Step 6: Final answer
    x = 32,391.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.