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Finding the Third Proportional to 20,653 and 44,590

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Solution

The third proportional to 20,653 and 44,590 is: 96,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,653 : 44,590 = 44,590 : x
  2. Step 2: Convert to fraction form
    20,653/44,590 = 44,590/x
  3. Step 3: Cross multiply
    20,653x = 44,590 × 44,590
  4. Step 4: Simplify right side
    20,653x = 1,988,268,100
  5. Step 5: Solve for x
    x = 1,988,268,100/20,653
  6. Step 6: Final answer
    x = 96,270.18

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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.