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Finding the Third Proportional to 44,051.63 and 85,884.75

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Solution

The third proportional to 44,051.63 and 85,884.75 is: 167,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,051.63 : 85,884.75 = 85,884.75 : x
  2. Step 2: Convert to fraction form
    44,051.63/85,884.75 = 85,884.75/x
  3. Step 3: Cross multiply
    44,051.63x = 85,884.75 × 85,884.75
  4. Step 4: Simplify right side
    44,051.63x = 7,376,190,282.56
  5. Step 5: Solve for x
    x = 7,376,190,282.56/44,051.63
  6. Step 6: Final answer
    x = 167,444.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.