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Finding the Third Proportional to 7,165.69 and 10,856.72

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Solution

The third proportional to 7,165.69 and 10,856.72 is: 16,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.69 : 10,856.72 = 10,856.72 : x
  2. Step 2: Convert to fraction form
    7,165.69/10,856.72 = 10,856.72/x
  3. Step 3: Cross multiply
    7,165.69x = 10,856.72 × 10,856.72
  4. Step 4: Simplify right side
    7,165.69x = 117,868,342.02
  5. Step 5: Solve for x
    x = 117,868,342.02/7,165.69
  6. Step 6: Final answer
    x = 16,448.99

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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.