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Finding the Third Proportional to 38,681.63 and 52,190.44

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Solution

The third proportional to 38,681.63 and 52,190.44 is: 70,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,681.63 : 52,190.44 = 52,190.44 : x
  2. Step 2: Convert to fraction form
    38,681.63/52,190.44 = 52,190.44/x
  3. Step 3: Cross multiply
    38,681.63x = 52,190.44 × 52,190.44
  4. Step 4: Simplify right side
    38,681.63x = 2,723,841,766.44
  5. Step 5: Solve for x
    x = 2,723,841,766.44/38,681.63
  6. Step 6: Final answer
    x = 70,416.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.