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Finding the Third Proportional to 11,097 and 24,319

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Solution

The third proportional to 11,097 and 24,319 is: 53,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 24,319 = 24,319 : x
  2. Step 2: Convert to fraction form
    11,097/24,319 = 24,319/x
  3. Step 3: Cross multiply
    11,097x = 24,319 × 24,319
  4. Step 4: Simplify right side
    11,097x = 591,413,761
  5. Step 5: Solve for x
    x = 591,413,761/11,097
  6. Step 6: Final answer
    x = 53,294.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.