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Finding the Third Proportional to 21,292.88 and 29,779.31

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Solution

The third proportional to 21,292.88 and 29,779.31 is: 41,648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292.88 : 29,779.31 = 29,779.31 : x
  2. Step 2: Convert to fraction form
    21,292.88/29,779.31 = 29,779.31/x
  3. Step 3: Cross multiply
    21,292.88x = 29,779.31 × 29,779.31
  4. Step 4: Simplify right side
    21,292.88x = 886,807,452.97
  5. Step 5: Solve for x
    x = 886,807,452.97/21,292.88
  6. Step 6: Final answer
    x = 41,648.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.