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Finding the Third Proportional to 17,565 and 26,788

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Solution

The third proportional to 17,565 and 26,788 is: 40,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565 : 26,788 = 26,788 : x
  2. Step 2: Convert to fraction form
    17,565/26,788 = 26,788/x
  3. Step 3: Cross multiply
    17,565x = 26,788 × 26,788
  4. Step 4: Simplify right side
    17,565x = 717,596,944
  5. Step 5: Solve for x
    x = 717,596,944/17,565
  6. Step 6: Final answer
    x = 40,853.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.