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Finding the Third Proportional to 8,829 and 13,764.94

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Solution

The third proportional to 8,829 and 13,764.94 is: 21,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 13,764.94 = 13,764.94 : x
  2. Step 2: Convert to fraction form
    8,829/13,764.94 = 13,764.94/x
  3. Step 3: Cross multiply
    8,829x = 13,764.94 × 13,764.94
  4. Step 4: Simplify right side
    8,829x = 189,473,504.38
  5. Step 5: Solve for x
    x = 189,473,504.38/8,829
  6. Step 6: Final answer
    x = 21,460.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.