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Finding the Third Proportional to 11,303.93 and 16,617.66

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Solution

The third proportional to 11,303.93 and 16,617.66 is: 24,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,303.93 : 16,617.66 = 16,617.66 : x
  2. Step 2: Convert to fraction form
    11,303.93/16,617.66 = 16,617.66/x
  3. Step 3: Cross multiply
    11,303.93x = 16,617.66 × 16,617.66
  4. Step 4: Simplify right side
    11,303.93x = 276,146,499.24
  5. Step 5: Solve for x
    x = 276,146,499.24/11,303.93
  6. Step 6: Final answer
    x = 24,429.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.