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Finding the Third Proportional to 35,983 and 50,332

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Solution

The third proportional to 35,983 and 50,332 is: 70,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983 : 50,332 = 50,332 : x
  2. Step 2: Convert to fraction form
    35,983/50,332 = 50,332/x
  3. Step 3: Cross multiply
    35,983x = 50,332 × 50,332
  4. Step 4: Simplify right side
    35,983x = 2,533,310,224
  5. Step 5: Solve for x
    x = 2,533,310,224/35,983
  6. Step 6: Final answer
    x = 70,402.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.