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Finding the Third Proportional to 14,100 and 20,784

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Solution

The third proportional to 14,100 and 20,784 is: 30,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100 : 20,784 = 20,784 : x
  2. Step 2: Convert to fraction form
    14,100/20,784 = 20,784/x
  3. Step 3: Cross multiply
    14,100x = 20,784 × 20,784
  4. Step 4: Simplify right side
    14,100x = 431,974,656
  5. Step 5: Solve for x
    x = 431,974,656/14,100
  6. Step 6: Final answer
    x = 30,636.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.