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Finding the Third Proportional to 36,303 and 57,049.50

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Solution

The third proportional to 36,303 and 57,049.50 is: 89,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,303 : 57,049.50 = 57,049.50 : x
  2. Step 2: Convert to fraction form
    36,303/57,049.50 = 57,049.50/x
  3. Step 3: Cross multiply
    36,303x = 57,049.50 × 57,049.50
  4. Step 4: Simplify right side
    36,303x = 3,254,645,450.25
  5. Step 5: Solve for x
    x = 3,254,645,450.25/36,303
  6. Step 6: Final answer
    x = 89,652.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.