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Finding the Third Proportional to 14,731.88 and 21,399.19

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Solution

The third proportional to 14,731.88 and 21,399.19 is: 31,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.88 : 21,399.19 = 21,399.19 : x
  2. Step 2: Convert to fraction form
    14,731.88/21,399.19 = 21,399.19/x
  3. Step 3: Cross multiply
    14,731.88x = 21,399.19 × 21,399.19
  4. Step 4: Simplify right side
    14,731.88x = 457,925,225.66
  5. Step 5: Solve for x
    x = 457,925,225.66/14,731.88
  6. Step 6: Final answer
    x = 31,083.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.