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Finding the Third Proportional to 6,184 and 11,513

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Solution

The third proportional to 6,184 and 11,513 is: 21,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 11,513 = 11,513 : x
  2. Step 2: Convert to fraction form
    6,184/11,513 = 11,513/x
  3. Step 3: Cross multiply
    6,184x = 11,513 × 11,513
  4. Step 4: Simplify right side
    6,184x = 132,549,169
  5. Step 5: Solve for x
    x = 132,549,169/6,184
  6. Step 6: Final answer
    x = 21,434.21

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.