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Finding the Third Proportional to 31,681.13 and 65,503.69

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Solution

The third proportional to 31,681.13 and 65,503.69 is: 135,435.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,681.13 : 65,503.69 = 65,503.69 : x
  2. Step 2: Convert to fraction form
    31,681.13/65,503.69 = 65,503.69/x
  3. Step 3: Cross multiply
    31,681.13x = 65,503.69 × 65,503.69
  4. Step 4: Simplify right side
    31,681.13x = 4,290,733,076.10
  5. Step 5: Solve for x
    x = 4,290,733,076.10/31,681.13
  6. Step 6: Final answer
    x = 135,435.00

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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.