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Finding the Third Proportional to 4,698 and 7,284.94

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Solution

The third proportional to 4,698 and 7,284.94 is: 11,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698 : 7,284.94 = 7,284.94 : x
  2. Step 2: Convert to fraction form
    4,698/7,284.94 = 7,284.94/x
  3. Step 3: Cross multiply
    4,698x = 7,284.94 × 7,284.94
  4. Step 4: Simplify right side
    4,698x = 53,070,314.38
  5. Step 5: Solve for x
    x = 53,070,314.38/4,698
  6. Step 6: Final answer
    x = 11,296.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.