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Finding the Third Proportional to 47,647.50 and 63,521.25

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Solution

The third proportional to 47,647.50 and 63,521.25 is: 84,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,647.50 : 63,521.25 = 63,521.25 : x
  2. Step 2: Convert to fraction form
    47,647.50/63,521.25 = 63,521.25/x
  3. Step 3: Cross multiply
    47,647.50x = 63,521.25 × 63,521.25
  4. Step 4: Simplify right side
    47,647.50x = 4,034,949,201.56
  5. Step 5: Solve for x
    x = 4,034,949,201.56/47,647.50
  6. Step 6: Final answer
    x = 84,683.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.