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Finding the Third Proportional to 10,779.56 and 22,863.56

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Solution

The third proportional to 10,779.56 and 22,863.56 is: 48,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.56 : 22,863.56 = 22,863.56 : x
  2. Step 2: Convert to fraction form
    10,779.56/22,863.56 = 22,863.56/x
  3. Step 3: Cross multiply
    10,779.56x = 22,863.56 × 22,863.56
  4. Step 4: Simplify right side
    10,779.56x = 522,742,490.19
  5. Step 5: Solve for x
    x = 522,742,490.19/10,779.56
  6. Step 6: Final answer
    x = 48,493.85

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Why These Related Problems?

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