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Finding the Third Proportional to 14,202 and 20,886

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Solution

The third proportional to 14,202 and 20,886 is: 30,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202 : 20,886 = 20,886 : x
  2. Step 2: Convert to fraction form
    14,202/20,886 = 20,886/x
  3. Step 3: Cross multiply
    14,202x = 20,886 × 20,886
  4. Step 4: Simplify right side
    14,202x = 436,224,996
  5. Step 5: Solve for x
    x = 436,224,996/14,202
  6. Step 6: Final answer
    x = 30,715.74

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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.