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Finding the Third Proportional to 21,529.50 and 31,656.38

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Solution

The third proportional to 21,529.50 and 31,656.38 is: 46,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,529.50 : 31,656.38 = 31,656.38 : x
  2. Step 2: Convert to fraction form
    21,529.50/31,656.38 = 31,656.38/x
  3. Step 3: Cross multiply
    21,529.50x = 31,656.38 × 31,656.38
  4. Step 4: Simplify right side
    21,529.50x = 1,002,126,078.14
  5. Step 5: Solve for x
    x = 1,002,126,078.14/21,529.50
  6. Step 6: Final answer
    x = 46,546.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.