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Finding the Third Proportional to 11,314.69 and 16,779.38

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Solution

The third proportional to 11,314.69 and 16,779.38 is: 24,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.69 : 16,779.38 = 16,779.38 : x
  2. Step 2: Convert to fraction form
    11,314.69/16,779.38 = 16,779.38/x
  3. Step 3: Cross multiply
    11,314.69x = 16,779.38 × 16,779.38
  4. Step 4: Simplify right side
    11,314.69x = 281,547,425.39
  5. Step 5: Solve for x
    x = 281,547,425.39/11,314.69
  6. Step 6: Final answer
    x = 24,883.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.