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Finding the Third Proportional to 18,270 and 26,554.50

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Solution

The third proportional to 18,270 and 26,554.50 is: 38,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270 : 26,554.50 = 26,554.50 : x
  2. Step 2: Convert to fraction form
    18,270/26,554.50 = 26,554.50/x
  3. Step 3: Cross multiply
    18,270x = 26,554.50 × 26,554.50
  4. Step 4: Simplify right side
    18,270x = 705,141,470.25
  5. Step 5: Solve for x
    x = 705,141,470.25/18,270
  6. Step 6: Final answer
    x = 38,595.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.