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Finding the Third Proportional to 19,509.19 and 28,567.69

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Solution

The third proportional to 19,509.19 and 28,567.69 is: 41,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.19 : 28,567.69 = 28,567.69 : x
  2. Step 2: Convert to fraction form
    19,509.19/28,567.69 = 28,567.69/x
  3. Step 3: Cross multiply
    19,509.19x = 28,567.69 × 28,567.69
  4. Step 4: Simplify right side
    19,509.19x = 816,112,769.10
  5. Step 5: Solve for x
    x = 816,112,769.10/19,509.19
  6. Step 6: Final answer
    x = 41,832.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.