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Finding the Third Proportional to 29,249 and 45,581.50

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Solution

The third proportional to 29,249 and 45,581.50 is: 71,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,249 : 45,581.50 = 45,581.50 : x
  2. Step 2: Convert to fraction form
    29,249/45,581.50 = 45,581.50/x
  3. Step 3: Cross multiply
    29,249x = 45,581.50 × 45,581.50
  4. Step 4: Simplify right side
    29,249x = 2,077,673,142.25
  5. Step 5: Solve for x
    x = 2,077,673,142.25/29,249
  6. Step 6: Final answer
    x = 71,033.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.