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Finding the Third Proportional to 4,052.63 and 8,815.31

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Solution

The third proportional to 4,052.63 and 8,815.31 is: 19,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.63 : 8,815.31 = 8,815.31 : x
  2. Step 2: Convert to fraction form
    4,052.63/8,815.31 = 8,815.31/x
  3. Step 3: Cross multiply
    4,052.63x = 8,815.31 × 8,815.31
  4. Step 4: Simplify right side
    4,052.63x = 77,709,734.47
  5. Step 5: Solve for x
    x = 77,709,734.47/4,052.63
  6. Step 6: Final answer
    x = 19,175.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.