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Finding the Third Proportional to 21,513.38 and 30,985.31

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Solution

The third proportional to 21,513.38 and 30,985.31 is: 44,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,513.38 : 30,985.31 = 30,985.31 : x
  2. Step 2: Convert to fraction form
    21,513.38/30,985.31 = 30,985.31/x
  3. Step 3: Cross multiply
    21,513.38x = 30,985.31 × 30,985.31
  4. Step 4: Simplify right side
    21,513.38x = 960,089,590.72
  5. Step 5: Solve for x
    x = 960,089,590.72/21,513.38
  6. Step 6: Final answer
    x = 44,627.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.