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Finding the Third Proportional to 4,899.94 and 10,585.69

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Solution

The third proportional to 4,899.94 and 10,585.69 is: 22,869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.94 : 10,585.69 = 10,585.69 : x
  2. Step 2: Convert to fraction form
    4,899.94/10,585.69 = 10,585.69/x
  3. Step 3: Cross multiply
    4,899.94x = 10,585.69 × 10,585.69
  4. Step 4: Simplify right side
    4,899.94x = 112,056,779.85
  5. Step 5: Solve for x
    x = 112,056,779.85/4,899.94
  6. Step 6: Final answer
    x = 22,869.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.