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Finding the Third Proportional to 29,307.38 and 45,408.94

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Solution

The third proportional to 29,307.38 and 45,408.94 is: 70,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307.38 : 45,408.94 = 45,408.94 : x
  2. Step 2: Convert to fraction form
    29,307.38/45,408.94 = 45,408.94/x
  3. Step 3: Cross multiply
    29,307.38x = 45,408.94 × 45,408.94
  4. Step 4: Simplify right side
    29,307.38x = 2,061,971,604.88
  5. Step 5: Solve for x
    x = 2,061,971,604.88/29,307.38
  6. Step 6: Final answer
    x = 70,356.75

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