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Finding the Third Proportional to 48,020 and 63,722

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Solution

The third proportional to 48,020 and 63,722 is: 84,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,020 : 63,722 = 63,722 : x
  2. Step 2: Convert to fraction form
    48,020/63,722 = 63,722/x
  3. Step 3: Cross multiply
    48,020x = 63,722 × 63,722
  4. Step 4: Simplify right side
    48,020x = 4,060,493,284
  5. Step 5: Solve for x
    x = 4,060,493,284/48,020
  6. Step 6: Final answer
    x = 84,558.38

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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.