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Finding the Third Proportional to 35,985 and 50,335.50

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Solution

The third proportional to 35,985 and 50,335.50 is: 70,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985 : 50,335.50 = 50,335.50 : x
  2. Step 2: Convert to fraction form
    35,985/50,335.50 = 50,335.50/x
  3. Step 3: Cross multiply
    35,985x = 50,335.50 × 50,335.50
  4. Step 4: Simplify right side
    35,985x = 2,533,662,560.25
  5. Step 5: Solve for x
    x = 2,533,662,560.25/35,985
  6. Step 6: Final answer
    x = 70,408.85

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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.