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Finding the Third Proportional to 47,846 and 65,681

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Solution

The third proportional to 47,846 and 65,681 is: 90,164.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846 : 65,681 = 65,681 : x
  2. Step 2: Convert to fraction form
    47,846/65,681 = 65,681/x
  3. Step 3: Cross multiply
    47,846x = 65,681 × 65,681
  4. Step 4: Simplify right side
    47,846x = 4,313,993,761
  5. Step 5: Solve for x
    x = 4,313,993,761/47,846
  6. Step 6: Final answer
    x = 90,164.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.