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Finding the Third Proportional to 19,358 and 27,260

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Solution

The third proportional to 19,358 and 27,260 is: 38,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,358 : 27,260 = 27,260 : x
  2. Step 2: Convert to fraction form
    19,358/27,260 = 27,260/x
  3. Step 3: Cross multiply
    19,358x = 27,260 × 27,260
  4. Step 4: Simplify right side
    19,358x = 743,107,600
  5. Step 5: Solve for x
    x = 743,107,600/19,358
  6. Step 6: Final answer
    x = 38,387.62

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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.