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Finding the Third Proportional to 29,706.75 and 45,403.03

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Solution

The third proportional to 29,706.75 and 45,403.03 is: 69,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 45,403.03 = 45,403.03 : x
  2. Step 2: Convert to fraction form
    29,706.75/45,403.03 = 45,403.03/x
  3. Step 3: Cross multiply
    29,706.75x = 45,403.03 × 45,403.03
  4. Step 4: Simplify right side
    29,706.75x = 2,061,435,246.69
  5. Step 5: Solve for x
    x = 2,061,435,246.69/29,706.75
  6. Step 6: Final answer
    x = 69,392.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.