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Finding the Third Proportional to 31,242.38 and 66,848.63

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Solution

The third proportional to 31,242.38 and 66,848.63 is: 143,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.38 : 66,848.63 = 66,848.63 : x
  2. Step 2: Convert to fraction form
    31,242.38/66,848.63 = 66,848.63/x
  3. Step 3: Cross multiply
    31,242.38x = 66,848.63 × 66,848.63
  4. Step 4: Simplify right side
    31,242.38x = 4,468,738,664.39
  5. Step 5: Solve for x
    x = 4,468,738,664.39/31,242.38
  6. Step 6: Final answer
    x = 143,034.54

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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.