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Finding the Third Proportional to 47,970 and 75,084

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Solution

The third proportional to 47,970 and 75,084 is: 117,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,970 : 75,084 = 75,084 : x
  2. Step 2: Convert to fraction form
    47,970/75,084 = 75,084/x
  3. Step 3: Cross multiply
    47,970x = 75,084 × 75,084
  4. Step 4: Simplify right side
    47,970x = 5,637,607,056
  5. Step 5: Solve for x
    x = 5,637,607,056/47,970
  6. Step 6: Final answer
    x = 117,523.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.