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Finding the Third Proportional to 31,164.75 and 66,794.63

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Solution

The third proportional to 31,164.75 and 66,794.63 is: 143,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.75 : 66,794.63 = 66,794.63 : x
  2. Step 2: Convert to fraction form
    31,164.75/66,794.63 = 66,794.63/x
  3. Step 3: Cross multiply
    31,164.75x = 66,794.63 × 66,794.63
  4. Step 4: Simplify right side
    31,164.75x = 4,461,521,928.89
  5. Step 5: Solve for x
    x = 4,461,521,928.89/31,164.75
  6. Step 6: Final answer
    x = 143,159.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.