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Finding the Third Proportional to 47,368 and 63,194

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Solution

The third proportional to 47,368 and 63,194 is: 84,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368 : 63,194 = 63,194 : x
  2. Step 2: Convert to fraction form
    47,368/63,194 = 63,194/x
  3. Step 3: Cross multiply
    47,368x = 63,194 × 63,194
  4. Step 4: Simplify right side
    47,368x = 3,993,481,636
  5. Step 5: Solve for x
    x = 3,993,481,636/47,368
  6. Step 6: Final answer
    x = 84,307.58

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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.