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Finding the Third Proportional to 14,102.88 and 30,973.19

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Solution

The third proportional to 14,102.88 and 30,973.19 is: 68,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.88 : 30,973.19 = 30,973.19 : x
  2. Step 2: Convert to fraction form
    14,102.88/30,973.19 = 30,973.19/x
  3. Step 3: Cross multiply
    14,102.88x = 30,973.19 × 30,973.19
  4. Step 4: Simplify right side
    14,102.88x = 959,338,343.91
  5. Step 5: Solve for x
    x = 959,338,343.91/14,102.88
  6. Step 6: Final answer
    x = 68,024.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.