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Finding the Third Proportional to 13,800 and 29,784

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Solution

The third proportional to 13,800 and 29,784 is: 64,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 29,784 = 29,784 : x
  2. Step 2: Convert to fraction form
    13,800/29,784 = 29,784/x
  3. Step 3: Cross multiply
    13,800x = 29,784 × 29,784
  4. Step 4: Simplify right side
    13,800x = 887,086,656
  5. Step 5: Solve for x
    x = 887,086,656/13,800
  6. Step 6: Final answer
    x = 64,281.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.