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Finding the Third Proportional to 47,178 and 62,991

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Solution

The third proportional to 47,178 and 62,991 is: 84,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,178 : 62,991 = 62,991 : x
  2. Step 2: Convert to fraction form
    47,178/62,991 = 62,991/x
  3. Step 3: Cross multiply
    47,178x = 62,991 × 62,991
  4. Step 4: Simplify right side
    47,178x = 3,967,866,081
  5. Step 5: Solve for x
    x = 3,967,866,081/47,178
  6. Step 6: Final answer
    x = 84,104.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.