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Finding the Third Proportional to 31,428 and 49,194

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Solution

The third proportional to 31,428 and 49,194 is: 77,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,428 : 49,194 = 49,194 : x
  2. Step 2: Convert to fraction form
    31,428/49,194 = 49,194/x
  3. Step 3: Cross multiply
    31,428x = 49,194 × 49,194
  4. Step 4: Simplify right side
    31,428x = 2,420,049,636
  5. Step 5: Solve for x
    x = 2,420,049,636/31,428
  6. Step 6: Final answer
    x = 77,002.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.