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Finding the Third Proportional to 4,779.56 and 10,139.06

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Solution

The third proportional to 4,779.56 and 10,139.06 is: 21,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,779.56 : 10,139.06 = 10,139.06 : x
  2. Step 2: Convert to fraction form
    4,779.56/10,139.06 = 10,139.06/x
  3. Step 3: Cross multiply
    4,779.56x = 10,139.06 × 10,139.06
  4. Step 4: Simplify right side
    4,779.56x = 102,800,588.38
  5. Step 5: Solve for x
    x = 102,800,588.38/4,779.56
  6. Step 6: Final answer
    x = 21,508.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.