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Finding the Third Proportional to 31,233.09 and 66,088.41

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Solution

The third proportional to 31,233.09 and 66,088.41 is: 139,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233.09 : 66,088.41 = 66,088.41 : x
  2. Step 2: Convert to fraction form
    31,233.09/66,088.41 = 66,088.41/x
  3. Step 3: Cross multiply
    31,233.09x = 66,088.41 × 66,088.41
  4. Step 4: Simplify right side
    31,233.09x = 4,367,677,440.67
  5. Step 5: Solve for x
    x = 4,367,677,440.67/31,233.09
  6. Step 6: Final answer
    x = 139,841.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.