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Finding the Third Proportional to 32,872 and 48,148

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Solution

The third proportional to 32,872 and 48,148 is: 70,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872 : 48,148 = 48,148 : x
  2. Step 2: Convert to fraction form
    32,872/48,148 = 48,148/x
  3. Step 3: Cross multiply
    32,872x = 48,148 × 48,148
  4. Step 4: Simplify right side
    32,872x = 2,318,229,904
  5. Step 5: Solve for x
    x = 2,318,229,904/32,872
  6. Step 6: Final answer
    x = 70,522.93

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Why These Related Problems?

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