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Finding the Third Proportional to 14,106 and 20,715

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Solution

The third proportional to 14,106 and 20,715 is: 30,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106 : 20,715 = 20,715 : x
  2. Step 2: Convert to fraction form
    14,106/20,715 = 20,715/x
  3. Step 3: Cross multiply
    14,106x = 20,715 × 20,715
  4. Step 4: Simplify right side
    14,106x = 429,111,225
  5. Step 5: Solve for x
    x = 429,111,225/14,106
  6. Step 6: Final answer
    x = 30,420.48

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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.