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Finding the Third Proportional to 32,724 and 43,518

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Solution

The third proportional to 32,724 and 43,518 is: 57,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 43,518 = 43,518 : x
  2. Step 2: Convert to fraction form
    32,724/43,518 = 43,518/x
  3. Step 3: Cross multiply
    32,724x = 43,518 × 43,518
  4. Step 4: Simplify right side
    32,724x = 1,893,816,324
  5. Step 5: Solve for x
    x = 1,893,816,324/32,724
  6. Step 6: Final answer
    x = 57,872.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.