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Finding the Third Proportional to 4,893.75 and 10,128.38

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Solution

The third proportional to 4,893.75 and 10,128.38 is: 20,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.75 : 10,128.38 = 10,128.38 : x
  2. Step 2: Convert to fraction form
    4,893.75/10,128.38 = 10,128.38/x
  3. Step 3: Cross multiply
    4,893.75x = 10,128.38 × 10,128.38
  4. Step 4: Simplify right side
    4,893.75x = 102,583,980.14
  5. Step 5: Solve for x
    x = 102,583,980.14/4,893.75
  6. Step 6: Final answer
    x = 20,962.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.