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Finding the Third Proportional to 14,440.78 and 31,250.81

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Solution

The third proportional to 14,440.78 and 31,250.81 is: 67,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440.78 : 31,250.81 = 31,250.81 : x
  2. Step 2: Convert to fraction form
    14,440.78/31,250.81 = 31,250.81/x
  3. Step 3: Cross multiply
    14,440.78x = 31,250.81 × 31,250.81
  4. Step 4: Simplify right side
    14,440.78x = 976,613,281.91
  5. Step 5: Solve for x
    x = 976,613,281.91/14,440.78
  6. Step 6: Final answer
    x = 67,628.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.