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Finding the Third Proportional to 2,368.69 and 4,888.69

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Solution

The third proportional to 2,368.69 and 4,888.69 is: 10,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.69 : 4,888.69 = 4,888.69 : x
  2. Step 2: Convert to fraction form
    2,368.69/4,888.69 = 4,888.69/x
  3. Step 3: Cross multiply
    2,368.69x = 4,888.69 × 4,888.69
  4. Step 4: Simplify right side
    2,368.69x = 23,899,265.47
  5. Step 5: Solve for x
    x = 23,899,265.47/2,368.69
  6. Step 6: Final answer
    x = 10,089.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.