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Finding the Third Proportional to 31,050 and 46,596

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Solution

The third proportional to 31,050 and 46,596 is: 69,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050 : 46,596 = 46,596 : x
  2. Step 2: Convert to fraction form
    31,050/46,596 = 46,596/x
  3. Step 3: Cross multiply
    31,050x = 46,596 × 46,596
  4. Step 4: Simplify right side
    31,050x = 2,171,187,216
  5. Step 5: Solve for x
    x = 2,171,187,216/31,050
  6. Step 6: Final answer
    x = 69,925.51

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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.