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Finding the Third Proportional to 14,730.94 and 32,023.31

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Solution

The third proportional to 14,730.94 and 32,023.31 is: 69,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,730.94 : 32,023.31 = 32,023.31 : x
  2. Step 2: Convert to fraction form
    14,730.94/32,023.31 = 32,023.31/x
  3. Step 3: Cross multiply
    14,730.94x = 32,023.31 × 32,023.31
  4. Step 4: Simplify right side
    14,730.94x = 1,025,492,543.47
  5. Step 5: Solve for x
    x = 1,025,492,543.47/14,730.94
  6. Step 6: Final answer
    x = 69,614.89

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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.