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Finding the Third Proportional to 40,764 and 63,004.50

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Solution

The third proportional to 40,764 and 63,004.50 is: 97,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,764 : 63,004.50 = 63,004.50 : x
  2. Step 2: Convert to fraction form
    40,764/63,004.50 = 63,004.50/x
  3. Step 3: Cross multiply
    40,764x = 63,004.50 × 63,004.50
  4. Step 4: Simplify right side
    40,764x = 3,969,567,020.25
  5. Step 5: Solve for x
    x = 3,969,567,020.25/40,764
  6. Step 6: Final answer
    x = 97,379.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.