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Finding the Third Proportional to 45,658.69 and 48,696.19

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Solution

The third proportional to 45,658.69 and 48,696.19 is: 51,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,658.69 : 48,696.19 = 48,696.19 : x
  2. Step 2: Convert to fraction form
    45,658.69/48,696.19 = 48,696.19/x
  3. Step 3: Cross multiply
    45,658.69x = 48,696.19 × 48,696.19
  4. Step 4: Simplify right side
    45,658.69x = 2,371,318,677.04
  5. Step 5: Solve for x
    x = 2,371,318,677.04/45,658.69
  6. Step 6: Final answer
    x = 51,935.76

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.