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Finding the Third Proportional to 21,467.81 and 31,579.88

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Solution

The third proportional to 21,467.81 and 31,579.88 is: 46,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.81 : 31,579.88 = 31,579.88 : x
  2. Step 2: Convert to fraction form
    21,467.81/31,579.88 = 31,579.88/x
  3. Step 3: Cross multiply
    21,467.81x = 31,579.88 × 31,579.88
  4. Step 4: Simplify right side
    21,467.81x = 997,288,505.02
  5. Step 5: Solve for x
    x = 997,288,505.02/21,467.81
  6. Step 6: Final answer
    x = 46,455.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.