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Finding the Third Proportional to 20,038.25 and 31,270.44

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Solution

The third proportional to 20,038.25 and 31,270.44 is: 48,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.25 : 31,270.44 = 31,270.44 : x
  2. Step 2: Convert to fraction form
    20,038.25/31,270.44 = 31,270.44/x
  3. Step 3: Cross multiply
    20,038.25x = 31,270.44 × 31,270.44
  4. Step 4: Simplify right side
    20,038.25x = 977,840,261.44
  5. Step 5: Solve for x
    x = 977,840,261.44/20,038.25
  6. Step 6: Final answer
    x = 48,798.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.