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Finding the Third Proportional to 46,832 and 63,120

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Solution

The third proportional to 46,832 and 63,120 is: 85,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,832 : 63,120 = 63,120 : x
  2. Step 2: Convert to fraction form
    46,832/63,120 = 63,120/x
  3. Step 3: Cross multiply
    46,832x = 63,120 × 63,120
  4. Step 4: Simplify right side
    46,832x = 3,984,134,400
  5. Step 5: Solve for x
    x = 3,984,134,400/46,832
  6. Step 6: Final answer
    x = 85,072.91

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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.