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Finding the Third Proportional to 31,416.94 and 65,020.88

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Solution

The third proportional to 31,416.94 and 65,020.88 is: 134,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.94 : 65,020.88 = 65,020.88 : x
  2. Step 2: Convert to fraction form
    31,416.94/65,020.88 = 65,020.88/x
  3. Step 3: Cross multiply
    31,416.94x = 65,020.88 × 65,020.88
  4. Step 4: Simplify right side
    31,416.94x = 4,227,714,185.77
  5. Step 5: Solve for x
    x = 4,227,714,185.77/31,416.94
  6. Step 6: Final answer
    x = 134,567.99

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Why These Related Problems?

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