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Finding the Third Proportional to 9,013.78 and 12,386.67

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Solution

The third proportional to 9,013.78 and 12,386.67 is: 17,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.78 : 12,386.67 = 12,386.67 : x
  2. Step 2: Convert to fraction form
    9,013.78/12,386.67 = 12,386.67/x
  3. Step 3: Cross multiply
    9,013.78x = 12,386.67 × 12,386.67
  4. Step 4: Simplify right side
    9,013.78x = 153,429,640.14
  5. Step 5: Solve for x
    x = 153,429,640.14/9,013.78
  6. Step 6: Final answer
    x = 17,021.67

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.