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Finding the Third Proportional to 15,779.81 and 17,488.41

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Solution

The third proportional to 15,779.81 and 17,488.41 is: 19,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,779.81 : 17,488.41 = 17,488.41 : x
  2. Step 2: Convert to fraction form
    15,779.81/17,488.41 = 17,488.41/x
  3. Step 3: Cross multiply
    15,779.81x = 17,488.41 × 17,488.41
  4. Step 4: Simplify right side
    15,779.81x = 305,844,353.17
  5. Step 5: Solve for x
    x = 305,844,353.17/15,779.81
  6. Step 6: Final answer
    x = 19,382.00

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.