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Finding the Third Proportional to 36,271.50 and 53,713.50

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Solution

The third proportional to 36,271.50 and 53,713.50 is: 79,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,271.50 : 53,713.50 = 53,713.50 : x
  2. Step 2: Convert to fraction form
    36,271.50/53,713.50 = 53,713.50/x
  3. Step 3: Cross multiply
    36,271.50x = 53,713.50 × 53,713.50
  4. Step 4: Simplify right side
    36,271.50x = 2,885,140,082.25
  5. Step 5: Solve for x
    x = 2,885,140,082.25/36,271.50
  6. Step 6: Final answer
    x = 79,542.89

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.