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Finding the Third Proportional to 17,856 and 26,748

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Solution

The third proportional to 17,856 and 26,748 is: 40,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 26,748 = 26,748 : x
  2. Step 2: Convert to fraction form
    17,856/26,748 = 26,748/x
  3. Step 3: Cross multiply
    17,856x = 26,748 × 26,748
  4. Step 4: Simplify right side
    17,856x = 715,455,504
  5. Step 5: Solve for x
    x = 715,455,504/17,856
  6. Step 6: Final answer
    x = 40,068.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.