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Finding the Third Proportional to 11,477.63 and 21,653.63

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Solution

The third proportional to 11,477.63 and 21,653.63 is: 40,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.63 : 21,653.63 = 21,653.63 : x
  2. Step 2: Convert to fraction form
    11,477.63/21,653.63 = 21,653.63/x
  3. Step 3: Cross multiply
    11,477.63x = 21,653.63 × 21,653.63
  4. Step 4: Simplify right side
    11,477.63x = 468,879,475.64
  5. Step 5: Solve for x
    x = 468,879,475.64/11,477.63
  6. Step 6: Final answer
    x = 40,851.61

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.