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Finding the Third Proportional to 14,690.25 and 32,145.75

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Solution

The third proportional to 14,690.25 and 32,145.75 is: 70,342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,690.25 : 32,145.75 = 32,145.75 : x
  2. Step 2: Convert to fraction form
    14,690.25/32,145.75 = 32,145.75/x
  3. Step 3: Cross multiply
    14,690.25x = 32,145.75 × 32,145.75
  4. Step 4: Simplify right side
    14,690.25x = 1,033,349,243.06
  5. Step 5: Solve for x
    x = 1,033,349,243.06/14,690.25
  6. Step 6: Final answer
    x = 70,342.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.