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Finding the Third Proportional to 9,031.50 and 12,668.06

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Solution

The third proportional to 9,031.50 and 12,668.06 is: 17,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.50 : 12,668.06 = 12,668.06 : x
  2. Step 2: Convert to fraction form
    9,031.50/12,668.06 = 12,668.06/x
  3. Step 3: Cross multiply
    9,031.50x = 12,668.06 × 12,668.06
  4. Step 4: Simplify right side
    9,031.50x = 160,479,807.50
  5. Step 5: Solve for x
    x = 160,479,807.50/9,031.50
  6. Step 6: Final answer
    x = 17,768.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.