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Finding the Third Proportional to 30,942 and 44,955

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Solution

The third proportional to 30,942 and 44,955 is: 65,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942 : 44,955 = 44,955 : x
  2. Step 2: Convert to fraction form
    30,942/44,955 = 44,955/x
  3. Step 3: Cross multiply
    30,942x = 44,955 × 44,955
  4. Step 4: Simplify right side
    30,942x = 2,020,952,025
  5. Step 5: Solve for x
    x = 2,020,952,025/30,942
  6. Step 6: Final answer
    x = 65,314.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.