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Finding the Third Proportional to 35,985 and 50,320

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Solution

The third proportional to 35,985 and 50,320 is: 70,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985 : 50,320 = 50,320 : x
  2. Step 2: Convert to fraction form
    35,985/50,320 = 50,320/x
  3. Step 3: Cross multiply
    35,985x = 50,320 × 50,320
  4. Step 4: Simplify right side
    35,985x = 2,532,102,400
  5. Step 5: Solve for x
    x = 2,532,102,400/35,985
  6. Step 6: Final answer
    x = 70,365.50

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