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Finding the Third Proportional to 31,804.88 and 47,779.88

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Solution

The third proportional to 31,804.88 and 47,779.88 is: 71,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.88 : 47,779.88 = 47,779.88 : x
  2. Step 2: Convert to fraction form
    31,804.88/47,779.88 = 47,779.88/x
  3. Step 3: Cross multiply
    31,804.88x = 47,779.88 × 47,779.88
  4. Step 4: Simplify right side
    31,804.88x = 2,282,916,455.02
  5. Step 5: Solve for x
    x = 2,282,916,455.02/31,804.88
  6. Step 6: Final answer
    x = 71,778.82

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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.