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Finding the Third Proportional to 38,245.13 and 53,762.25

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Solution

The third proportional to 38,245.13 and 53,762.25 is: 75,575.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.13 : 53,762.25 = 53,762.25 : x
  2. Step 2: Convert to fraction form
    38,245.13/53,762.25 = 53,762.25/x
  3. Step 3: Cross multiply
    38,245.13x = 53,762.25 × 53,762.25
  4. Step 4: Simplify right side
    38,245.13x = 2,890,379,525.06
  5. Step 5: Solve for x
    x = 2,890,379,525.06/38,245.13
  6. Step 6: Final answer
    x = 75,575.11

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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.