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Finding the Third Proportional to 17,748 and 26,750

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Solution

The third proportional to 17,748 and 26,750 is: 40,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748 : 26,750 = 26,750 : x
  2. Step 2: Convert to fraction form
    17,748/26,750 = 26,750/x
  3. Step 3: Cross multiply
    17,748x = 26,750 × 26,750
  4. Step 4: Simplify right side
    17,748x = 715,562,500
  5. Step 5: Solve for x
    x = 715,562,500/17,748
  6. Step 6: Final answer
    x = 40,317.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.