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Finding the Third Proportional to 20,907 and 45,084

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Solution

The third proportional to 20,907 and 45,084 is: 97,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,907 : 45,084 = 45,084 : x
  2. Step 2: Convert to fraction form
    20,907/45,084 = 45,084/x
  3. Step 3: Cross multiply
    20,907x = 45,084 × 45,084
  4. Step 4: Simplify right side
    20,907x = 2,032,567,056
  5. Step 5: Solve for x
    x = 2,032,567,056/20,907
  6. Step 6: Final answer
    x = 97,219.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.