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Finding the Third Proportional to 13,640.27 and 29,615.63

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Solution

The third proportional to 13,640.27 and 29,615.63 is: 64,301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.27 : 29,615.63 = 29,615.63 : x
  2. Step 2: Convert to fraction form
    13,640.27/29,615.63 = 29,615.63/x
  3. Step 3: Cross multiply
    13,640.27x = 29,615.63 × 29,615.63
  4. Step 4: Simplify right side
    13,640.27x = 877,085,244.14
  5. Step 5: Solve for x
    x = 877,085,244.14/13,640.27
  6. Step 6: Final answer
    x = 64,301.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.