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Finding the Third Proportional to 29,995.13 and 65,640.13

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Solution

The third proportional to 29,995.13 and 65,640.13 is: 143,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,995.13 : 65,640.13 = 65,640.13 : x
  2. Step 2: Convert to fraction form
    29,995.13/65,640.13 = 65,640.13/x
  3. Step 3: Cross multiply
    29,995.13x = 65,640.13 × 65,640.13
  4. Step 4: Simplify right side
    29,995.13x = 4,308,626,010.02
  5. Step 5: Solve for x
    x = 4,308,626,010.02/29,995.13
  6. Step 6: Final answer
    x = 143,644.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.