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Finding the Third Proportional to 8,314 and 19,248

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Solution

The third proportional to 8,314 and 19,248 is: 44,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314 : 19,248 = 19,248 : x
  2. Step 2: Convert to fraction form
    8,314/19,248 = 19,248/x
  3. Step 3: Cross multiply
    8,314x = 19,248 × 19,248
  4. Step 4: Simplify right side
    8,314x = 370,485,504
  5. Step 5: Solve for x
    x = 370,485,504/8,314
  6. Step 6: Final answer
    x = 44,561.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.