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Finding the Third Proportional to 14,004 and 19,222

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Solution

The third proportional to 14,004 and 19,222 is: 26,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 19,222 = 19,222 : x
  2. Step 2: Convert to fraction form
    14,004/19,222 = 19,222/x
  3. Step 3: Cross multiply
    14,004x = 19,222 × 19,222
  4. Step 4: Simplify right side
    14,004x = 369,485,284
  5. Step 5: Solve for x
    x = 369,485,284/14,004
  6. Step 6: Final answer
    x = 26,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.