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Finding the Third Proportional to 42,944 and 63,171

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Solution

The third proportional to 42,944 and 63,171 is: 92,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,944 : 63,171 = 63,171 : x
  2. Step 2: Convert to fraction form
    42,944/63,171 = 63,171/x
  3. Step 3: Cross multiply
    42,944x = 63,171 × 63,171
  4. Step 4: Simplify right side
    42,944x = 3,990,575,241
  5. Step 5: Solve for x
    x = 3,990,575,241/42,944
  6. Step 6: Final answer
    x = 92,925.09

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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.