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Finding the Third Proportional to 14,477 and 30,106

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Solution

The third proportional to 14,477 and 30,106 is: 62,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,477 : 30,106 = 30,106 : x
  2. Step 2: Convert to fraction form
    14,477/30,106 = 30,106/x
  3. Step 3: Cross multiply
    14,477x = 30,106 × 30,106
  4. Step 4: Simplify right side
    14,477x = 906,371,236
  5. Step 5: Solve for x
    x = 906,371,236/14,477
  6. Step 6: Final answer
    x = 62,607.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.