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Finding the Third Proportional to 32,541 and 48,684

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Solution

The third proportional to 32,541 and 48,684 is: 72,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541 : 48,684 = 48,684 : x
  2. Step 2: Convert to fraction form
    32,541/48,684 = 48,684/x
  3. Step 3: Cross multiply
    32,541x = 48,684 × 48,684
  4. Step 4: Simplify right side
    32,541x = 2,370,131,856
  5. Step 5: Solve for x
    x = 2,370,131,856/32,541
  6. Step 6: Final answer
    x = 72,835.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.