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Finding the Third Proportional to 14,693.91 and 32,144.34

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Solution

The third proportional to 14,693.91 and 32,144.34 is: 70,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.91 : 32,144.34 = 32,144.34 : x
  2. Step 2: Convert to fraction form
    14,693.91/32,144.34 = 32,144.34/x
  3. Step 3: Cross multiply
    14,693.91x = 32,144.34 × 32,144.34
  4. Step 4: Simplify right side
    14,693.91x = 1,033,258,835.12
  5. Step 5: Solve for x
    x = 1,033,258,835.12/14,693.91
  6. Step 6: Final answer
    x = 70,318.87

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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.