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Finding the Third Proportional to 20,580 and 44,421

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Solution

The third proportional to 20,580 and 44,421 is: 95,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580 : 44,421 = 44,421 : x
  2. Step 2: Convert to fraction form
    20,580/44,421 = 44,421/x
  3. Step 3: Cross multiply
    20,580x = 44,421 × 44,421
  4. Step 4: Simplify right side
    20,580x = 1,973,225,241
  5. Step 5: Solve for x
    x = 1,973,225,241/20,580
  6. Step 6: Final answer
    x = 95,880.72

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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.