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Finding the Third Proportional to 11,565 and 13,239

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Solution

The third proportional to 11,565 and 13,239 is: 15,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565 : 13,239 = 13,239 : x
  2. Step 2: Convert to fraction form
    11,565/13,239 = 13,239/x
  3. Step 3: Cross multiply
    11,565x = 13,239 × 13,239
  4. Step 4: Simplify right side
    11,565x = 175,271,121
  5. Step 5: Solve for x
    x = 175,271,121/11,565
  6. Step 6: Final answer
    x = 15,155.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.