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Finding the Third Proportional to 31,100.63 and 66,638.81

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Solution

The third proportional to 31,100.63 and 66,638.81 is: 142,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.63 : 66,638.81 = 66,638.81 : x
  2. Step 2: Convert to fraction form
    31,100.63/66,638.81 = 66,638.81/x
  3. Step 3: Cross multiply
    31,100.63x = 66,638.81 × 66,638.81
  4. Step 4: Simplify right side
    31,100.63x = 4,440,731,331.41
  5. Step 5: Solve for x
    x = 4,440,731,331.41/31,100.63
  6. Step 6: Final answer
    x = 142,785.92

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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.