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Finding the Third Proportional to 9,139 and 13,775.75

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Solution

The third proportional to 9,139 and 13,775.75 is: 20,764.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139 : 13,775.75 = 13,775.75 : x
  2. Step 2: Convert to fraction form
    9,139/13,775.75 = 13,775.75/x
  3. Step 3: Cross multiply
    9,139x = 13,775.75 × 13,775.75
  4. Step 4: Simplify right side
    9,139x = 189,771,288.06
  5. Step 5: Solve for x
    x = 189,771,288.06/9,139
  6. Step 6: Final answer
    x = 20,764.99

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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.