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Finding the Third Proportional to 29,649.75 and 65,131.50

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Solution

The third proportional to 29,649.75 and 65,131.50 is: 143,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.75 : 65,131.50 = 65,131.50 : x
  2. Step 2: Convert to fraction form
    29,649.75/65,131.50 = 65,131.50/x
  3. Step 3: Cross multiply
    29,649.75x = 65,131.50 × 65,131.50
  4. Step 4: Simplify right side
    29,649.75x = 4,242,112,292.25
  5. Step 5: Solve for x
    x = 4,242,112,292.25/29,649.75
  6. Step 6: Final answer
    x = 143,074.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.