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Finding the Third Proportional to 14,730.56 and 32,022.56

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Solution

The third proportional to 14,730.56 and 32,022.56 is: 69,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.56 : 32,022.56 = 32,022.56 : x
  2. Step 2: Convert to fraction form
    14,730.56/32,022.56 = 32,022.56/x
  3. Step 3: Cross multiply
    14,730.56x = 32,022.56 × 32,022.56
  4. Step 4: Simplify right side
    14,730.56x = 1,025,444,509.07
  5. Step 5: Solve for x
    x = 1,025,444,509.07/14,730.56
  6. Step 6: Final answer
    x = 69,613.40

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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.