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Finding the Third Proportional to 20,029.88 and 29,012.06

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Solution

The third proportional to 20,029.88 and 29,012.06 is: 42,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.88 : 29,012.06 = 29,012.06 : x
  2. Step 2: Convert to fraction form
    20,029.88/29,012.06 = 29,012.06/x
  3. Step 3: Cross multiply
    20,029.88x = 29,012.06 × 29,012.06
  4. Step 4: Simplify right side
    20,029.88x = 841,699,770.50
  5. Step 5: Solve for x
    x = 841,699,770.50/20,029.88
  6. Step 6: Final answer
    x = 42,022.22

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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.