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Finding the Third Proportional to 38,782.75 and 56,941.75

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Solution

The third proportional to 38,782.75 and 56,941.75 is: 83,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,782.75 : 56,941.75 = 56,941.75 : x
  2. Step 2: Convert to fraction form
    38,782.75/56,941.75 = 56,941.75/x
  3. Step 3: Cross multiply
    38,782.75x = 56,941.75 × 56,941.75
  4. Step 4: Simplify right side
    38,782.75x = 3,242,362,893.06
  5. Step 5: Solve for x
    x = 3,242,362,893.06/38,782.75
  6. Step 6: Final answer
    x = 83,603.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.