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Finding the Third Proportional to 28,483.88 and 31,217.63

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Solution

The third proportional to 28,483.88 and 31,217.63 is: 34,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,483.88 : 31,217.63 = 31,217.63 : x
  2. Step 2: Convert to fraction form
    28,483.88/31,217.63 = 31,217.63/x
  3. Step 3: Cross multiply
    28,483.88x = 31,217.63 × 31,217.63
  4. Step 4: Simplify right side
    28,483.88x = 974,540,110.64
  5. Step 5: Solve for x
    x = 974,540,110.64/28,483.88
  6. Step 6: Final answer
    x = 34,213.75

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.