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Finding the Third Proportional to 36,558 and 55,237.50

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Solution

The third proportional to 36,558 and 55,237.50 is: 83,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,558 : 55,237.50 = 55,237.50 : x
  2. Step 2: Convert to fraction form
    36,558/55,237.50 = 55,237.50/x
  3. Step 3: Cross multiply
    36,558x = 55,237.50 × 55,237.50
  4. Step 4: Simplify right side
    36,558x = 3,051,181,406.25
  5. Step 5: Solve for x
    x = 3,051,181,406.25/36,558
  6. Step 6: Final answer
    x = 83,461.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.