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Finding the Third Proportional to 31,235.63 and 46,833.19

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Solution

The third proportional to 31,235.63 and 46,833.19 is: 70,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.63 : 46,833.19 = 46,833.19 : x
  2. Step 2: Convert to fraction form
    31,235.63/46,833.19 = 46,833.19/x
  3. Step 3: Cross multiply
    31,235.63x = 46,833.19 × 46,833.19
  4. Step 4: Simplify right side
    31,235.63x = 2,193,347,451.41
  5. Step 5: Solve for x
    x = 2,193,347,451.41/31,235.63
  6. Step 6: Final answer
    x = 70,219.42

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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.