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Finding the Third Proportional to 18,506 and 27,106

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Solution

The third proportional to 18,506 and 27,106 is: 39,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506 : 27,106 = 27,106 : x
  2. Step 2: Convert to fraction form
    18,506/27,106 = 27,106/x
  3. Step 3: Cross multiply
    18,506x = 27,106 × 27,106
  4. Step 4: Simplify right side
    18,506x = 734,735,236
  5. Step 5: Solve for x
    x = 734,735,236/18,506
  6. Step 6: Final answer
    x = 39,702.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.