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Finding the Third Proportional to 19,484 and 27,570

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Solution

The third proportional to 19,484 and 27,570 is: 39,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,484 : 27,570 = 27,570 : x
  2. Step 2: Convert to fraction form
    19,484/27,570 = 27,570/x
  3. Step 3: Cross multiply
    19,484x = 27,570 × 27,570
  4. Step 4: Simplify right side
    19,484x = 760,104,900
  5. Step 5: Solve for x
    x = 760,104,900/19,484
  6. Step 6: Final answer
    x = 39,011.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.