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Finding the Third Proportional to 48,173 and 63,921

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Solution

The third proportional to 48,173 and 63,921 is: 84,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,173 : 63,921 = 63,921 : x
  2. Step 2: Convert to fraction form
    48,173/63,921 = 63,921/x
  3. Step 3: Cross multiply
    48,173x = 63,921 × 63,921
  4. Step 4: Simplify right side
    48,173x = 4,085,894,241
  5. Step 5: Solve for x
    x = 4,085,894,241/48,173
  6. Step 6: Final answer
    x = 84,817.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.