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Finding the Third Proportional to 6,498.56 and 10,465.03

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Solution

The third proportional to 6,498.56 and 10,465.03 is: 16,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.56 : 10,465.03 = 10,465.03 : x
  2. Step 2: Convert to fraction form
    6,498.56/10,465.03 = 10,465.03/x
  3. Step 3: Cross multiply
    6,498.56x = 10,465.03 × 10,465.03
  4. Step 4: Simplify right side
    6,498.56x = 109,516,879.06
  5. Step 5: Solve for x
    x = 109,516,879.06/6,498.56
  6. Step 6: Final answer
    x = 16,852.48

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.