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Finding the Third Proportional to 14,386 and 21,880

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Solution

The third proportional to 14,386 and 21,880 is: 33,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386 : 21,880 = 21,880 : x
  2. Step 2: Convert to fraction form
    14,386/21,880 = 21,880/x
  3. Step 3: Cross multiply
    14,386x = 21,880 × 21,880
  4. Step 4: Simplify right side
    14,386x = 478,734,400
  5. Step 5: Solve for x
    x = 478,734,400/14,386
  6. Step 6: Final answer
    x = 33,277.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.