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Finding the Third Proportional to 5,076.42 and 7,477.95

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Solution

The third proportional to 5,076.42 and 7,477.95 is: 11,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.42 : 7,477.95 = 7,477.95 : x
  2. Step 2: Convert to fraction form
    5,076.42/7,477.95 = 7,477.95/x
  3. Step 3: Cross multiply
    5,076.42x = 7,477.95 × 7,477.95
  4. Step 4: Simplify right side
    5,076.42x = 55,919,666.10
  5. Step 5: Solve for x
    x = 55,919,666.10/5,076.42
  6. Step 6: Final answer
    x = 11,015.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.