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Finding the Third Proportional to 7,291.69 and 11,068.31

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Solution

The third proportional to 7,291.69 and 11,068.31 is: 16,800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.69 : 11,068.31 = 11,068.31 : x
  2. Step 2: Convert to fraction form
    7,291.69/11,068.31 = 11,068.31/x
  3. Step 3: Cross multiply
    7,291.69x = 11,068.31 × 11,068.31
  4. Step 4: Simplify right side
    7,291.69x = 122,507,541.60
  5. Step 5: Solve for x
    x = 122,507,541.60/7,291.69
  6. Step 6: Final answer
    x = 16,800.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.