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Finding the Third Proportional to 21,559 and 31,501

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Solution

The third proportional to 21,559 and 31,501 is: 46,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,559 : 31,501 = 31,501 : x
  2. Step 2: Convert to fraction form
    21,559/31,501 = 31,501/x
  3. Step 3: Cross multiply
    21,559x = 31,501 × 31,501
  4. Step 4: Simplify right side
    21,559x = 992,313,001
  5. Step 5: Solve for x
    x = 992,313,001/21,559
  6. Step 6: Final answer
    x = 46,027.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.