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Finding the Third Proportional to 26,934.50 and 46,315

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Solution

The third proportional to 26,934.50 and 46,315 is: 79,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,934.50 : 46,315 = 46,315 : x
  2. Step 2: Convert to fraction form
    26,934.50/46,315 = 46,315/x
  3. Step 3: Cross multiply
    26,934.50x = 46,315 × 46,315
  4. Step 4: Simplify right side
    26,934.50x = 2,145,079,225
  5. Step 5: Solve for x
    x = 2,145,079,225/26,934.50
  6. Step 6: Final answer
    x = 79,640.58

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.