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Finding the Third Proportional to 43,184 and 63,354

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Solution

The third proportional to 43,184 and 63,354 is: 92,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,184 : 63,354 = 63,354 : x
  2. Step 2: Convert to fraction form
    43,184/63,354 = 63,354/x
  3. Step 3: Cross multiply
    43,184x = 63,354 × 63,354
  4. Step 4: Simplify right side
    43,184x = 4,013,729,316
  5. Step 5: Solve for x
    x = 4,013,729,316/43,184
  6. Step 6: Final answer
    x = 92,944.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.