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Finding the Third Proportional to 30,084.75 and 44,938.13

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Solution

The third proportional to 30,084.75 and 44,938.13 is: 67,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.75 : 44,938.13 = 44,938.13 : x
  2. Step 2: Convert to fraction form
    30,084.75/44,938.13 = 44,938.13/x
  3. Step 3: Cross multiply
    30,084.75x = 44,938.13 × 44,938.13
  4. Step 4: Simplify right side
    30,084.75x = 2,019,435,078.52
  5. Step 5: Solve for x
    x = 2,019,435,078.52/30,084.75
  6. Step 6: Final answer
    x = 67,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.