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Finding the Third Proportional to 20,467.88 and 31,248.38

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Solution

The third proportional to 20,467.88 and 31,248.38 is: 47,707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,467.88 : 31,248.38 = 31,248.38 : x
  2. Step 2: Convert to fraction form
    20,467.88/31,248.38 = 31,248.38/x
  3. Step 3: Cross multiply
    20,467.88x = 31,248.38 × 31,248.38
  4. Step 4: Simplify right side
    20,467.88x = 976,460,940.14
  5. Step 5: Solve for x
    x = 976,460,940.14/20,467.88
  6. Step 6: Final answer
    x = 47,707.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.