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Finding the Third Proportional to 38,648.25 and 89,477.63

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Solution

The third proportional to 38,648.25 and 89,477.63 is: 207,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648.25 : 89,477.63 = 89,477.63 : x
  2. Step 2: Convert to fraction form
    38,648.25/89,477.63 = 89,477.63/x
  3. Step 3: Cross multiply
    38,648.25x = 89,477.63 × 89,477.63
  4. Step 4: Simplify right side
    38,648.25x = 8,006,245,375.64
  5. Step 5: Solve for x
    x = 8,006,245,375.64/38,648.25
  6. Step 6: Final answer
    x = 207,156.74

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.