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Finding the Third Proportional to 14,914.13 and 32,113.69

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Solution

The third proportional to 14,914.13 and 32,113.69 is: 69,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.13 : 32,113.69 = 32,113.69 : x
  2. Step 2: Convert to fraction form
    14,914.13/32,113.69 = 32,113.69/x
  3. Step 3: Cross multiply
    14,914.13x = 32,113.69 × 32,113.69
  4. Step 4: Simplify right side
    14,914.13x = 1,031,288,924.85
  5. Step 5: Solve for x
    x = 1,031,288,924.85/14,914.13
  6. Step 6: Final answer
    x = 69,148.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.