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Finding the Third Proportional to 14,028 and 18,710

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Solution

The third proportional to 14,028 and 18,710 is: 24,954.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028 : 18,710 = 18,710 : x
  2. Step 2: Convert to fraction form
    14,028/18,710 = 18,710/x
  3. Step 3: Cross multiply
    14,028x = 18,710 × 18,710
  4. Step 4: Simplify right side
    14,028x = 350,064,100
  5. Step 5: Solve for x
    x = 350,064,100/14,028
  6. Step 6: Final answer
    x = 24,954.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.