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Finding the Third Proportional to 19,923.50 and 46,964

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Solution

The third proportional to 19,923.50 and 46,964 is: 110,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.50 : 46,964 = 46,964 : x
  2. Step 2: Convert to fraction form
    19,923.50/46,964 = 46,964/x
  3. Step 3: Cross multiply
    19,923.50x = 46,964 × 46,964
  4. Step 4: Simplify right side
    19,923.50x = 2,205,617,296
  5. Step 5: Solve for x
    x = 2,205,617,296/19,923.50
  6. Step 6: Final answer
    x = 110,704.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.