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Finding the Third Proportional to 20,565 and 44,045

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Solution

The third proportional to 20,565 and 44,045 is: 94,333.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565 : 44,045 = 44,045 : x
  2. Step 2: Convert to fraction form
    20,565/44,045 = 44,045/x
  3. Step 3: Cross multiply
    20,565x = 44,045 × 44,045
  4. Step 4: Simplify right side
    20,565x = 1,939,962,025
  5. Step 5: Solve for x
    x = 1,939,962,025/20,565
  6. Step 6: Final answer
    x = 94,333.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.