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Finding the Third Proportional to 14,967.28 and 32,425.31

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Solution

The third proportional to 14,967.28 and 32,425.31 is: 70,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.28 : 32,425.31 = 32,425.31 : x
  2. Step 2: Convert to fraction form
    14,967.28/32,425.31 = 32,425.31/x
  3. Step 3: Cross multiply
    14,967.28x = 32,425.31 × 32,425.31
  4. Step 4: Simplify right side
    14,967.28x = 1,051,400,890.72
  5. Step 5: Solve for x
    x = 1,051,400,890.72/14,967.28
  6. Step 6: Final answer
    x = 70,246.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.