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Finding the Third Proportional to 47,490 and 70,503

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Solution

The third proportional to 47,490 and 70,503 is: 104,667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,490 : 70,503 = 70,503 : x
  2. Step 2: Convert to fraction form
    47,490/70,503 = 70,503/x
  3. Step 3: Cross multiply
    47,490x = 70,503 × 70,503
  4. Step 4: Simplify right side
    47,490x = 4,970,673,009
  5. Step 5: Solve for x
    x = 4,970,673,009/47,490
  6. Step 6: Final answer
    x = 104,667.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.