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Finding the Third Proportional to 31,516 and 46,651

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Solution

The third proportional to 31,516 and 46,651 is: 69,054.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516 : 46,651 = 46,651 : x
  2. Step 2: Convert to fraction form
    31,516/46,651 = 46,651/x
  3. Step 3: Cross multiply
    31,516x = 46,651 × 46,651
  4. Step 4: Simplify right side
    31,516x = 2,176,315,801
  5. Step 5: Solve for x
    x = 2,176,315,801/31,516
  6. Step 6: Final answer
    x = 69,054.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.