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Finding the Third Proportional to 21,702.94 and 44,009.16

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Solution

The third proportional to 21,702.94 and 44,009.16 is: 89,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.94 : 44,009.16 = 44,009.16 : x
  2. Step 2: Convert to fraction form
    21,702.94/44,009.16 = 44,009.16/x
  3. Step 3: Cross multiply
    21,702.94x = 44,009.16 × 44,009.16
  4. Step 4: Simplify right side
    21,702.94x = 1,936,805,833.84
  5. Step 5: Solve for x
    x = 1,936,805,833.84/21,702.94
  6. Step 6: Final answer
    x = 89,241.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.