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Finding the Third Proportional to 14,376.56 and 31,284.38

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Solution

The third proportional to 14,376.56 and 31,284.38 is: 68,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376.56 : 31,284.38 = 31,284.38 : x
  2. Step 2: Convert to fraction form
    14,376.56/31,284.38 = 31,284.38/x
  3. Step 3: Cross multiply
    14,376.56x = 31,284.38 × 31,284.38
  4. Step 4: Simplify right side
    14,376.56x = 978,712,119.14
  5. Step 5: Solve for x
    x = 978,712,119.14/14,376.56
  6. Step 6: Final answer
    x = 68,076.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.