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Finding the Third Proportional to 31,088.34 and 66,608.81

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Solution

The third proportional to 31,088.34 and 66,608.81 is: 142,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.34 : 66,608.81 = 66,608.81 : x
  2. Step 2: Convert to fraction form
    31,088.34/66,608.81 = 66,608.81/x
  3. Step 3: Cross multiply
    31,088.34x = 66,608.81 × 66,608.81
  4. Step 4: Simplify right side
    31,088.34x = 4,436,733,902.66
  5. Step 5: Solve for x
    x = 4,436,733,902.66/31,088.34
  6. Step 6: Final answer
    x = 142,713.74

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