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Finding the Third Proportional to 38,989 and 56,904

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Solution

The third proportional to 38,989 and 56,904 is: 83,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,989 : 56,904 = 56,904 : x
  2. Step 2: Convert to fraction form
    38,989/56,904 = 56,904/x
  3. Step 3: Cross multiply
    38,989x = 56,904 × 56,904
  4. Step 4: Simplify right side
    38,989x = 3,238,065,216
  5. Step 5: Solve for x
    x = 3,238,065,216/38,989
  6. Step 6: Final answer
    x = 83,050.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.