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Finding the Third Proportional to 5,250.09 and 7,862.48

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Solution

The third proportional to 5,250.09 and 7,862.48 is: 11,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.09 : 7,862.48 = 7,862.48 : x
  2. Step 2: Convert to fraction form
    5,250.09/7,862.48 = 7,862.48/x
  3. Step 3: Cross multiply
    5,250.09x = 7,862.48 × 7,862.48
  4. Step 4: Simplify right side
    5,250.09x = 61,818,660.55
  5. Step 5: Solve for x
    x = 61,818,660.55/5,250.09
  6. Step 6: Final answer
    x = 11,774.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.