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Finding the Third Proportional to 29,653.75 and 45,866.38

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Solution

The third proportional to 29,653.75 and 45,866.38 is: 70,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,653.75 : 45,866.38 = 45,866.38 : x
  2. Step 2: Convert to fraction form
    29,653.75/45,866.38 = 45,866.38/x
  3. Step 3: Cross multiply
    29,653.75x = 45,866.38 × 45,866.38
  4. Step 4: Simplify right side
    29,653.75x = 2,103,724,355.64
  5. Step 5: Solve for x
    x = 2,103,724,355.64/29,653.75
  6. Step 6: Final answer
    x = 70,942.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.