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Finding the Third Proportional to 32,358 and 50,283

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Solution

The third proportional to 32,358 and 50,283 is: 78,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,358 : 50,283 = 50,283 : x
  2. Step 2: Convert to fraction form
    32,358/50,283 = 50,283/x
  3. Step 3: Cross multiply
    32,358x = 50,283 × 50,283
  4. Step 4: Simplify right side
    32,358x = 2,528,380,089
  5. Step 5: Solve for x
    x = 2,528,380,089/32,358
  6. Step 6: Final answer
    x = 78,137.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.