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Finding the Third Proportional to 26,950.50 and 38,574

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Solution

The third proportional to 26,950.50 and 38,574 is: 55,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,950.50 : 38,574 = 38,574 : x
  2. Step 2: Convert to fraction form
    26,950.50/38,574 = 38,574/x
  3. Step 3: Cross multiply
    26,950.50x = 38,574 × 38,574
  4. Step 4: Simplify right side
    26,950.50x = 1,487,953,476
  5. Step 5: Solve for x
    x = 1,487,953,476/26,950.50
  6. Step 6: Final answer
    x = 55,210.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.