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Finding the Third Proportional to 5,265 and 8,337.94

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Solution

The third proportional to 5,265 and 8,337.94 is: 13,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265 : 8,337.94 = 8,337.94 : x
  2. Step 2: Convert to fraction form
    5,265/8,337.94 = 8,337.94/x
  3. Step 3: Cross multiply
    5,265x = 8,337.94 × 8,337.94
  4. Step 4: Simplify right side
    5,265x = 69,521,201.75
  5. Step 5: Solve for x
    x = 69,521,201.75/5,265
  6. Step 6: Final answer
    x = 13,204.41

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.