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Finding the Third Proportional to 35,559 and 85,333.50

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Solution

The third proportional to 35,559 and 85,333.50 is: 204,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,559 : 85,333.50 = 85,333.50 : x
  2. Step 2: Convert to fraction form
    35,559/85,333.50 = 85,333.50/x
  3. Step 3: Cross multiply
    35,559x = 85,333.50 × 85,333.50
  4. Step 4: Simplify right side
    35,559x = 7,281,806,222.25
  5. Step 5: Solve for x
    x = 7,281,806,222.25/35,559
  6. Step 6: Final answer
    x = 204,780.96

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.