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Finding the Third Proportional to 47,489 and 70,501

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Solution

The third proportional to 47,489 and 70,501 is: 104,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,489 : 70,501 = 70,501 : x
  2. Step 2: Convert to fraction form
    47,489/70,501 = 70,501/x
  3. Step 3: Cross multiply
    47,489x = 70,501 × 70,501
  4. Step 4: Simplify right side
    47,489x = 4,970,391,001
  5. Step 5: Solve for x
    x = 4,970,391,001/47,489
  6. Step 6: Final answer
    x = 104,664.05

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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.