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Finding the Third Proportional to 48,028 and 63,732

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Solution

The third proportional to 48,028 and 63,732 is: 84,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,028 : 63,732 = 63,732 : x
  2. Step 2: Convert to fraction form
    48,028/63,732 = 63,732/x
  3. Step 3: Cross multiply
    48,028x = 63,732 × 63,732
  4. Step 4: Simplify right side
    48,028x = 4,061,767,824
  5. Step 5: Solve for x
    x = 4,061,767,824/48,028
  6. Step 6: Final answer
    x = 84,570.83

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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.