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Finding the Third Proportional to 11,588 and 23,716

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Solution

The third proportional to 11,588 and 23,716 is: 48,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588 : 23,716 = 23,716 : x
  2. Step 2: Convert to fraction form
    11,588/23,716 = 23,716/x
  3. Step 3: Cross multiply
    11,588x = 23,716 × 23,716
  4. Step 4: Simplify right side
    11,588x = 562,448,656
  5. Step 5: Solve for x
    x = 562,448,656/11,588
  6. Step 6: Final answer
    x = 48,537.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.