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Finding the Third Proportional to 28,940 and 39,084

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Solution

The third proportional to 28,940 and 39,084 is: 52,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,940 : 39,084 = 39,084 : x
  2. Step 2: Convert to fraction form
    28,940/39,084 = 39,084/x
  3. Step 3: Cross multiply
    28,940x = 39,084 × 39,084
  4. Step 4: Simplify right side
    28,940x = 1,527,559,056
  5. Step 5: Solve for x
    x = 1,527,559,056/28,940
  6. Step 6: Final answer
    x = 52,783.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.