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Finding the Third Proportional to 14,184 and 22,448

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Solution

The third proportional to 14,184 and 22,448 is: 35,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 22,448 = 22,448 : x
  2. Step 2: Convert to fraction form
    14,184/22,448 = 22,448/x
  3. Step 3: Cross multiply
    14,184x = 22,448 × 22,448
  4. Step 4: Simplify right side
    14,184x = 503,912,704
  5. Step 5: Solve for x
    x = 503,912,704/14,184
  6. Step 6: Final answer
    x = 35,526.84

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.