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Finding the Third Proportional to 19,356 and 27,257.50

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Solution

The third proportional to 19,356 and 27,257.50 is: 38,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,356 : 27,257.50 = 27,257.50 : x
  2. Step 2: Convert to fraction form
    19,356/27,257.50 = 27,257.50/x
  3. Step 3: Cross multiply
    19,356x = 27,257.50 × 27,257.50
  4. Step 4: Simplify right side
    19,356x = 742,971,306.25
  5. Step 5: Solve for x
    x = 742,971,306.25/19,356
  6. Step 6: Final answer
    x = 38,384.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.