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Finding the Third Proportional to 8,838 and 19,314

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Solution

The third proportional to 8,838 and 19,314 is: 42,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838 : 19,314 = 19,314 : x
  2. Step 2: Convert to fraction form
    8,838/19,314 = 19,314/x
  3. Step 3: Cross multiply
    8,838x = 19,314 × 19,314
  4. Step 4: Simplify right side
    8,838x = 373,030,596
  5. Step 5: Solve for x
    x = 373,030,596/8,838
  6. Step 6: Final answer
    x = 42,207.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.