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Finding the Third Proportional to 29,299.22 and 45,165.09

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Solution

The third proportional to 29,299.22 and 45,165.09 is: 69,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,299.22 : 45,165.09 = 45,165.09 : x
  2. Step 2: Convert to fraction form
    29,299.22/45,165.09 = 45,165.09/x
  3. Step 3: Cross multiply
    29,299.22x = 45,165.09 × 45,165.09
  4. Step 4: Simplify right side
    29,299.22x = 2,039,885,693.45
  5. Step 5: Solve for x
    x = 2,039,885,693.45/29,299.22
  6. Step 6: Final answer
    x = 69,622.53

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Why These Related Problems?

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