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Finding the Third Proportional to 14,374 and 21,004

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Solution

The third proportional to 14,374 and 21,004 is: 30,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374 : 21,004 = 21,004 : x
  2. Step 2: Convert to fraction form
    14,374/21,004 = 21,004/x
  3. Step 3: Cross multiply
    14,374x = 21,004 × 21,004
  4. Step 4: Simplify right side
    14,374x = 441,168,016
  5. Step 5: Solve for x
    x = 441,168,016/14,374
  6. Step 6: Final answer
    x = 30,692.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.