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Finding the Third Proportional to 10,621.13 and 21,702.94

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Solution

The third proportional to 10,621.13 and 21,702.94 is: 44,347.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,621.13 : 21,702.94 = 21,702.94 : x
  2. Step 2: Convert to fraction form
    10,621.13/21,702.94 = 21,702.94/x
  3. Step 3: Cross multiply
    10,621.13x = 21,702.94 × 21,702.94
  4. Step 4: Simplify right side
    10,621.13x = 471,017,496.13
  5. Step 5: Solve for x
    x = 471,017,496.13/10,621.13
  6. Step 6: Final answer
    x = 44,347.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.