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Finding the Third Proportional to 14,368 and 21,680

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Solution

The third proportional to 14,368 and 21,680 is: 32,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368 : 21,680 = 21,680 : x
  2. Step 2: Convert to fraction form
    14,368/21,680 = 21,680/x
  3. Step 3: Cross multiply
    14,368x = 21,680 × 21,680
  4. Step 4: Simplify right side
    14,368x = 470,022,400
  5. Step 5: Solve for x
    x = 470,022,400/14,368
  6. Step 6: Final answer
    x = 32,713.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.