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Finding the Third Proportional to 13,764.38 and 29,988.84

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Solution

The third proportional to 13,764.38 and 29,988.84 is: 65,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.38 : 29,988.84 = 29,988.84 : x
  2. Step 2: Convert to fraction form
    13,764.38/29,988.84 = 29,988.84/x
  3. Step 3: Cross multiply
    13,764.38x = 29,988.84 × 29,988.84
  4. Step 4: Simplify right side
    13,764.38x = 899,330,749.46
  5. Step 5: Solve for x
    x = 899,330,749.46/13,764.38
  6. Step 6: Final answer
    x = 65,337.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.