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Finding the Third Proportional to 32,426 and 48,673

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Solution

The third proportional to 32,426 and 48,673 is: 73,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426 : 48,673 = 48,673 : x
  2. Step 2: Convert to fraction form
    32,426/48,673 = 48,673/x
  3. Step 3: Cross multiply
    32,426x = 48,673 × 48,673
  4. Step 4: Simplify right side
    32,426x = 2,369,060,929
  5. Step 5: Solve for x
    x = 2,369,060,929/32,426
  6. Step 6: Final answer
    x = 73,060.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.