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Finding the Third Proportional to 11,297 and 24,748

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Solution

The third proportional to 11,297 and 24,748 is: 54,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297 : 24,748 = 24,748 : x
  2. Step 2: Convert to fraction form
    11,297/24,748 = 24,748/x
  3. Step 3: Cross multiply
    11,297x = 24,748 × 24,748
  4. Step 4: Simplify right side
    11,297x = 612,463,504
  5. Step 5: Solve for x
    x = 612,463,504/11,297
  6. Step 6: Final answer
    x = 54,214.70

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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.