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Finding the Third Proportional to 19,574 and 28,048

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Solution

The third proportional to 19,574 and 28,048 is: 40,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574 : 28,048 = 28,048 : x
  2. Step 2: Convert to fraction form
    19,574/28,048 = 28,048/x
  3. Step 3: Cross multiply
    19,574x = 28,048 × 28,048
  4. Step 4: Simplify right side
    19,574x = 786,690,304
  5. Step 5: Solve for x
    x = 786,690,304/19,574
  6. Step 6: Final answer
    x = 40,190.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.