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Finding the Third Proportional to 17,784 and 19,440

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Solution

The third proportional to 17,784 and 19,440 is: 21,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 19,440 = 19,440 : x
  2. Step 2: Convert to fraction form
    17,784/19,440 = 19,440/x
  3. Step 3: Cross multiply
    17,784x = 19,440 × 19,440
  4. Step 4: Simplify right side
    17,784x = 377,913,600
  5. Step 5: Solve for x
    x = 377,913,600/17,784
  6. Step 6: Final answer
    x = 21,250.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.