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Finding the Third Proportional to 52,599.50 and 73,985

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Solution

The third proportional to 52,599.50 and 73,985 is: 104,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,599.50 : 73,985 = 73,985 : x
  2. Step 2: Convert to fraction form
    52,599.50/73,985 = 73,985/x
  3. Step 3: Cross multiply
    52,599.50x = 73,985 × 73,985
  4. Step 4: Simplify right side
    52,599.50x = 5,473,780,225
  5. Step 5: Solve for x
    x = 5,473,780,225/52,599.50
  6. Step 6: Final answer
    x = 104,065.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.