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Finding the Third Proportional to 14,004 and 17,784

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Solution

The third proportional to 14,004 and 17,784 is: 22,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004 : 17,784 = 17,784 : x
  2. Step 2: Convert to fraction form
    14,004/17,784 = 17,784/x
  3. Step 3: Cross multiply
    14,004x = 17,784 × 17,784
  4. Step 4: Simplify right side
    14,004x = 316,270,656
  5. Step 5: Solve for x
    x = 316,270,656/14,004
  6. Step 6: Final answer
    x = 22,584.31

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.