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Finding the Third Proportional to 35,309 and 47,946

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Solution

The third proportional to 35,309 and 47,946 is: 65,105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,309 : 47,946 = 47,946 : x
  2. Step 2: Convert to fraction form
    35,309/47,946 = 47,946/x
  3. Step 3: Cross multiply
    35,309x = 47,946 × 47,946
  4. Step 4: Simplify right side
    35,309x = 2,298,818,916
  5. Step 5: Solve for x
    x = 2,298,818,916/35,309
  6. Step 6: Final answer
    x = 65,105.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.