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Finding the Third Proportional to 11,046 and 26,748

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Solution

The third proportional to 11,046 and 26,748 is: 64,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046 : 26,748 = 26,748 : x
  2. Step 2: Convert to fraction form
    11,046/26,748 = 26,748/x
  3. Step 3: Cross multiply
    11,046x = 26,748 × 26,748
  4. Step 4: Simplify right side
    11,046x = 715,455,504
  5. Step 5: Solve for x
    x = 715,455,504/11,046
  6. Step 6: Final answer
    x = 64,770.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.