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Finding the Third Proportional to 18,026 and 39,562

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Solution

The third proportional to 18,026 and 39,562 is: 86,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,026 : 39,562 = 39,562 : x
  2. Step 2: Convert to fraction form
    18,026/39,562 = 39,562/x
  3. Step 3: Cross multiply
    18,026x = 39,562 × 39,562
  4. Step 4: Simplify right side
    18,026x = 1,565,151,844
  5. Step 5: Solve for x
    x = 1,565,151,844/18,026
  6. Step 6: Final answer
    x = 86,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.