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Finding the Third Proportional to 31,353.19 and 66,958.88

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Solution

The third proportional to 31,353.19 and 66,958.88 is: 142,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,353.19 : 66,958.88 = 66,958.88 : x
  2. Step 2: Convert to fraction form
    31,353.19/66,958.88 = 66,958.88/x
  3. Step 3: Cross multiply
    31,353.19x = 66,958.88 × 66,958.88
  4. Step 4: Simplify right side
    31,353.19x = 4,483,490,941.27
  5. Step 5: Solve for x
    x = 4,483,490,941.27/31,353.19
  6. Step 6: Final answer
    x = 142,999.53

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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.