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Finding the Third Proportional to 32,412 and 49,788

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Solution

The third proportional to 32,412 and 49,788 is: 76,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 49,788 = 49,788 : x
  2. Step 2: Convert to fraction form
    32,412/49,788 = 49,788/x
  3. Step 3: Cross multiply
    32,412x = 49,788 × 49,788
  4. Step 4: Simplify right side
    32,412x = 2,478,844,944
  5. Step 5: Solve for x
    x = 2,478,844,944/32,412
  6. Step 6: Final answer
    x = 76,479.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.