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Finding the Third Proportional to 7,083 and 18,114.75

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Solution

The third proportional to 7,083 and 18,114.75 is: 46,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083 : 18,114.75 = 18,114.75 : x
  2. Step 2: Convert to fraction form
    7,083/18,114.75 = 18,114.75/x
  3. Step 3: Cross multiply
    7,083x = 18,114.75 × 18,114.75
  4. Step 4: Simplify right side
    7,083x = 328,144,167.56
  5. Step 5: Solve for x
    x = 328,144,167.56/7,083
  6. Step 6: Final answer
    x = 46,328.42

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.