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Finding the Third Proportional to 20,278 and 47,363

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Solution

The third proportional to 20,278 and 47,363 is: 110,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,278 : 47,363 = 47,363 : x
  2. Step 2: Convert to fraction form
    20,278/47,363 = 47,363/x
  3. Step 3: Cross multiply
    20,278x = 47,363 × 47,363
  4. Step 4: Simplify right side
    20,278x = 2,243,253,769
  5. Step 5: Solve for x
    x = 2,243,253,769/20,278
  6. Step 6: Final answer
    x = 110,625.00

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.