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Finding the Third Proportional to 32,971 and 48,732

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Solution

The third proportional to 32,971 and 48,732 is: 72,027.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971 : 48,732 = 48,732 : x
  2. Step 2: Convert to fraction form
    32,971/48,732 = 48,732/x
  3. Step 3: Cross multiply
    32,971x = 48,732 × 48,732
  4. Step 4: Simplify right side
    32,971x = 2,374,807,824
  5. Step 5: Solve for x
    x = 2,374,807,824/32,971
  6. Step 6: Final answer
    x = 72,027.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.