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Finding the Third Proportional to 20,960.63 and 31,637.63

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Solution

The third proportional to 20,960.63 and 31,637.63 is: 47,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,960.63 : 31,637.63 = 31,637.63 : x
  2. Step 2: Convert to fraction form
    20,960.63/31,637.63 = 31,637.63/x
  3. Step 3: Cross multiply
    20,960.63x = 31,637.63 × 31,637.63
  4. Step 4: Simplify right side
    20,960.63x = 1,000,939,315.64
  5. Step 5: Solve for x
    x = 1,000,939,315.64/20,960.63
  6. Step 6: Final answer
    x = 47,753.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.