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Finding the Third Proportional to 13,354 and 18,784

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Solution

The third proportional to 13,354 and 18,784 is: 26,421.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,354 : 18,784 = 18,784 : x
  2. Step 2: Convert to fraction form
    13,354/18,784 = 18,784/x
  3. Step 3: Cross multiply
    13,354x = 18,784 × 18,784
  4. Step 4: Simplify right side
    13,354x = 352,838,656
  5. Step 5: Solve for x
    x = 352,838,656/13,354
  6. Step 6: Final answer
    x = 26,421.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.