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Finding the Third Proportional to 4,938.94 and 7,461.38

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Solution

The third proportional to 4,938.94 and 7,461.38 is: 11,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.94 : 7,461.38 = 7,461.38 : x
  2. Step 2: Convert to fraction form
    4,938.94/7,461.38 = 7,461.38/x
  3. Step 3: Cross multiply
    4,938.94x = 7,461.38 × 7,461.38
  4. Step 4: Simplify right side
    4,938.94x = 55,672,116.89
  5. Step 5: Solve for x
    x = 55,672,116.89/4,938.94
  6. Step 6: Final answer
    x = 11,272.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.