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Finding the Third Proportional to 31,196.63 and 46,779.75

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Solution

The third proportional to 31,196.63 and 46,779.75 is: 70,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,196.63 : 46,779.75 = 46,779.75 : x
  2. Step 2: Convert to fraction form
    31,196.63/46,779.75 = 46,779.75/x
  3. Step 3: Cross multiply
    31,196.63x = 46,779.75 × 46,779.75
  4. Step 4: Simplify right side
    31,196.63x = 2,188,345,010.06
  5. Step 5: Solve for x
    x = 2,188,345,010.06/31,196.63
  6. Step 6: Final answer
    x = 70,146.85

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