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Finding the Third Proportional to 9,478.50 and 14,031

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Solution

The third proportional to 9,478.50 and 14,031 is: 20,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.50 : 14,031 = 14,031 : x
  2. Step 2: Convert to fraction form
    9,478.50/14,031 = 14,031/x
  3. Step 3: Cross multiply
    9,478.50x = 14,031 × 14,031
  4. Step 4: Simplify right side
    9,478.50x = 196,868,961
  5. Step 5: Solve for x
    x = 196,868,961/9,478.50
  6. Step 6: Final answer
    x = 20,770.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.