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Finding the Third Proportional to 44,338 and 94,820

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Solution

The third proportional to 44,338 and 94,820 is: 202,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,338 : 94,820 = 94,820 : x
  2. Step 2: Convert to fraction form
    44,338/94,820 = 94,820/x
  3. Step 3: Cross multiply
    44,338x = 94,820 × 94,820
  4. Step 4: Simplify right side
    44,338x = 8,990,832,400
  5. Step 5: Solve for x
    x = 8,990,832,400/44,338
  6. Step 6: Final answer
    x = 202,779.39

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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.