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Finding the Third Proportional to 8,535 and 10,101

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Solution

The third proportional to 8,535 and 10,101 is: 11,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535 : 10,101 = 10,101 : x
  2. Step 2: Convert to fraction form
    8,535/10,101 = 10,101/x
  3. Step 3: Cross multiply
    8,535x = 10,101 × 10,101
  4. Step 4: Simplify right side
    8,535x = 102,030,201
  5. Step 5: Solve for x
    x = 102,030,201/8,535
  6. Step 6: Final answer
    x = 11,954.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.