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Finding the Third Proportional to 29,615 and 45,522.50

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Solution

The third proportional to 29,615 and 45,522.50 is: 69,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,615 : 45,522.50 = 45,522.50 : x
  2. Step 2: Convert to fraction form
    29,615/45,522.50 = 45,522.50/x
  3. Step 3: Cross multiply
    29,615x = 45,522.50 × 45,522.50
  4. Step 4: Simplify right side
    29,615x = 2,072,298,006.25
  5. Step 5: Solve for x
    x = 2,072,298,006.25/29,615
  6. Step 6: Final answer
    x = 69,974.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.