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Finding the Third Proportional to 32,350 and 49,389

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Solution

The third proportional to 32,350 and 49,389 is: 75,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,350 : 49,389 = 49,389 : x
  2. Step 2: Convert to fraction form
    32,350/49,389 = 49,389/x
  3. Step 3: Cross multiply
    32,350x = 49,389 × 49,389
  4. Step 4: Simplify right side
    32,350x = 2,439,273,321
  5. Step 5: Solve for x
    x = 2,439,273,321/32,350
  6. Step 6: Final answer
    x = 75,402.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.