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Finding the Third Proportional to 7,454 and 18,083

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Solution

The third proportional to 7,454 and 18,083 is: 43,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454 : 18,083 = 18,083 : x
  2. Step 2: Convert to fraction form
    7,454/18,083 = 18,083/x
  3. Step 3: Cross multiply
    7,454x = 18,083 × 18,083
  4. Step 4: Simplify right side
    7,454x = 326,994,889
  5. Step 5: Solve for x
    x = 326,994,889/7,454
  6. Step 6: Final answer
    x = 43,868.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.