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Finding the Third Proportional to 7,109.44 and 10,967.91

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Solution

The third proportional to 7,109.44 and 10,967.91 is: 16,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.44 : 10,967.91 = 10,967.91 : x
  2. Step 2: Convert to fraction form
    7,109.44/10,967.91 = 10,967.91/x
  3. Step 3: Cross multiply
    7,109.44x = 10,967.91 × 10,967.91
  4. Step 4: Simplify right side
    7,109.44x = 120,294,967.51
  5. Step 5: Solve for x
    x = 120,294,967.51/7,109.44
  6. Step 6: Final answer
    x = 16,920.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.