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Finding the Third Proportional to 9,540 and 23,118

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Solution

The third proportional to 9,540 and 23,118 is: 56,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540 : 23,118 = 23,118 : x
  2. Step 2: Convert to fraction form
    9,540/23,118 = 23,118/x
  3. Step 3: Cross multiply
    9,540x = 23,118 × 23,118
  4. Step 4: Simplify right side
    9,540x = 534,441,924
  5. Step 5: Solve for x
    x = 534,441,924/9,540
  6. Step 6: Final answer
    x = 56,021.17

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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.