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Finding the Third Proportional to 32,380 and 48,804

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Solution

The third proportional to 32,380 and 48,804 is: 73,558.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380 : 48,804 = 48,804 : x
  2. Step 2: Convert to fraction form
    32,380/48,804 = 48,804/x
  3. Step 3: Cross multiply
    32,380x = 48,804 × 48,804
  4. Step 4: Simplify right side
    32,380x = 2,381,830,416
  5. Step 5: Solve for x
    x = 2,381,830,416/32,380
  6. Step 6: Final answer
    x = 73,558.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.