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Finding the Third Proportional to 27,368 and 39,084

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Solution

The third proportional to 27,368 and 39,084 is: 55,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368 : 39,084 = 39,084 : x
  2. Step 2: Convert to fraction form
    27,368/39,084 = 39,084/x
  3. Step 3: Cross multiply
    27,368x = 39,084 × 39,084
  4. Step 4: Simplify right side
    27,368x = 1,527,559,056
  5. Step 5: Solve for x
    x = 1,527,559,056/27,368
  6. Step 6: Final answer
    x = 55,815.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.