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Finding the Third Proportional to 45,686.63 and 68,529.75

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Solution

The third proportional to 45,686.63 and 68,529.75 is: 102,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,686.63 : 68,529.75 = 68,529.75 : x
  2. Step 2: Convert to fraction form
    45,686.63/68,529.75 = 68,529.75/x
  3. Step 3: Cross multiply
    45,686.63x = 68,529.75 × 68,529.75
  4. Step 4: Simplify right side
    45,686.63x = 4,696,326,635.06
  5. Step 5: Solve for x
    x = 4,696,326,635.06/45,686.63
  6. Step 6: Final answer
    x = 102,794.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.