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Finding the Third Proportional to 6,274.13 and 13,582.13

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Solution

The third proportional to 6,274.13 and 13,582.13 is: 29,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.13 : 13,582.13 = 13,582.13 : x
  2. Step 2: Convert to fraction form
    6,274.13/13,582.13 = 13,582.13/x
  3. Step 3: Cross multiply
    6,274.13x = 13,582.13 × 13,582.13
  4. Step 4: Simplify right side
    6,274.13x = 184,474,119.52
  5. Step 5: Solve for x
    x = 184,474,119.52/6,274.13
  6. Step 6: Final answer
    x = 29,402.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.