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Finding the Third Proportional to 29,189.25 and 45,150.75

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Solution

The third proportional to 29,189.25 and 45,150.75 is: 69,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.25 : 45,150.75 = 45,150.75 : x
  2. Step 2: Convert to fraction form
    29,189.25/45,150.75 = 45,150.75/x
  3. Step 3: Cross multiply
    29,189.25x = 45,150.75 × 45,150.75
  4. Step 4: Simplify right side
    29,189.25x = 2,038,590,225.56
  5. Step 5: Solve for x
    x = 2,038,590,225.56/29,189.25
  6. Step 6: Final answer
    x = 69,840.45

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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.