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Finding the Third Proportional to 23,246.31 and 34,779.36

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Solution

The third proportional to 23,246.31 and 34,779.36 is: 52,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246.31 : 34,779.36 = 34,779.36 : x
  2. Step 2: Convert to fraction form
    23,246.31/34,779.36 = 34,779.36/x
  3. Step 3: Cross multiply
    23,246.31x = 34,779.36 × 34,779.36
  4. Step 4: Simplify right side
    23,246.31x = 1,209,603,893.73
  5. Step 5: Solve for x
    x = 1,209,603,893.73/23,246.31
  6. Step 6: Final answer
    x = 52,034.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.