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Finding the Third Proportional to 32,492 and 48,978

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Solution

The third proportional to 32,492 and 48,978 is: 73,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492 : 48,978 = 48,978 : x
  2. Step 2: Convert to fraction form
    32,492/48,978 = 48,978/x
  3. Step 3: Cross multiply
    32,492x = 48,978 × 48,978
  4. Step 4: Simplify right side
    32,492x = 2,398,844,484
  5. Step 5: Solve for x
    x = 2,398,844,484/32,492
  6. Step 6: Final answer
    x = 73,828.77

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