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Finding the Third Proportional to 19,486 and 27,572

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Solution

The third proportional to 19,486 and 27,572 is: 39,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486 : 27,572 = 27,572 : x
  2. Step 2: Convert to fraction form
    19,486/27,572 = 27,572/x
  3. Step 3: Cross multiply
    19,486x = 27,572 × 27,572
  4. Step 4: Simplify right side
    19,486x = 760,215,184
  5. Step 5: Solve for x
    x = 760,215,184/19,486
  6. Step 6: Final answer
    x = 39,013.40

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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.