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Finding the Third Proportional to 20,263.13 and 43,647.28

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Solution

The third proportional to 20,263.13 and 43,647.28 is: 94,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.13 : 43,647.28 = 43,647.28 : x
  2. Step 2: Convert to fraction form
    20,263.13/43,647.28 = 43,647.28/x
  3. Step 3: Cross multiply
    20,263.13x = 43,647.28 × 43,647.28
  4. Step 4: Simplify right side
    20,263.13x = 1,905,085,160.52
  5. Step 5: Solve for x
    x = 1,905,085,160.52/20,263.13
  6. Step 6: Final answer
    x = 94,017.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.