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Finding the Third Proportional to 31,028.06 and 49,154.34

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Solution

The third proportional to 31,028.06 and 49,154.34 is: 77,869.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.06 : 49,154.34 = 49,154.34 : x
  2. Step 2: Convert to fraction form
    31,028.06/49,154.34 = 49,154.34/x
  3. Step 3: Cross multiply
    31,028.06x = 49,154.34 × 49,154.34
  4. Step 4: Simplify right side
    31,028.06x = 2,416,149,509.49
  5. Step 5: Solve for x
    x = 2,416,149,509.49/31,028.06
  6. Step 6: Final answer
    x = 77,869.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.