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Finding the Third Proportional to 6,931.13 and 13,553.44

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Solution

The third proportional to 6,931.13 and 13,553.44 is: 26,503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.13 : 13,553.44 = 13,553.44 : x
  2. Step 2: Convert to fraction form
    6,931.13/13,553.44 = 13,553.44/x
  3. Step 3: Cross multiply
    6,931.13x = 13,553.44 × 13,553.44
  4. Step 4: Simplify right side
    6,931.13x = 183,695,668.07
  5. Step 5: Solve for x
    x = 183,695,668.07/6,931.13
  6. Step 6: Final answer
    x = 26,503.01

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.