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Finding the Third Proportional to 21,987 and 31,504.50

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Solution

The third proportional to 21,987 and 31,504.50 is: 45,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,987 : 31,504.50 = 31,504.50 : x
  2. Step 2: Convert to fraction form
    21,987/31,504.50 = 31,504.50/x
  3. Step 3: Cross multiply
    21,987x = 31,504.50 × 31,504.50
  4. Step 4: Simplify right side
    21,987x = 992,533,520.25
  5. Step 5: Solve for x
    x = 992,533,520.25/21,987
  6. Step 6: Final answer
    x = 45,141.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.