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Finding the Third Proportional to 44,145.25 and 56,683.75

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Solution

The third proportional to 44,145.25 and 56,683.75 is: 72,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145.25 : 56,683.75 = 56,683.75 : x
  2. Step 2: Convert to fraction form
    44,145.25/56,683.75 = 56,683.75/x
  3. Step 3: Cross multiply
    44,145.25x = 56,683.75 × 56,683.75
  4. Step 4: Simplify right side
    44,145.25x = 3,213,047,514.06
  5. Step 5: Solve for x
    x = 3,213,047,514.06/44,145.25
  6. Step 6: Final answer
    x = 72,783.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.