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Finding the Third Proportional to 31,185 and 66,835.13

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Solution

The third proportional to 31,185 and 66,835.13 is: 143,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,185 : 66,835.13 = 66,835.13 : x
  2. Step 2: Convert to fraction form
    31,185/66,835.13 = 66,835.13/x
  3. Step 3: Cross multiply
    31,185x = 66,835.13 × 66,835.13
  4. Step 4: Simplify right side
    31,185x = 4,466,933,933.77
  5. Step 5: Solve for x
    x = 4,466,933,933.77/31,185
  6. Step 6: Final answer
    x = 143,239.82

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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.