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Finding the Third Proportional to 31,399.88 and 65,008.13

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Solution

The third proportional to 31,399.88 and 65,008.13 is: 134,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399.88 : 65,008.13 = 65,008.13 : x
  2. Step 2: Convert to fraction form
    31,399.88/65,008.13 = 65,008.13/x
  3. Step 3: Cross multiply
    31,399.88x = 65,008.13 × 65,008.13
  4. Step 4: Simplify right side
    31,399.88x = 4,226,056,316.02
  5. Step 5: Solve for x
    x = 4,226,056,316.02/31,399.88
  6. Step 6: Final answer
    x = 134,588.32

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.