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Finding the Third Proportional to 21,544 and 31,606.50

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Solution

The third proportional to 21,544 and 31,606.50 is: 46,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,544 : 31,606.50 = 31,606.50 : x
  2. Step 2: Convert to fraction form
    21,544/31,606.50 = 31,606.50/x
  3. Step 3: Cross multiply
    21,544x = 31,606.50 × 31,606.50
  4. Step 4: Simplify right side
    21,544x = 998,970,842.25
  5. Step 5: Solve for x
    x = 998,970,842.25/21,544
  6. Step 6: Final answer
    x = 46,368.87

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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.