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Finding the Third Proportional to 10,315.69 and 15,945.19

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Solution

The third proportional to 10,315.69 and 15,945.19 is: 24,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.69 : 15,945.19 = 15,945.19 : x
  2. Step 2: Convert to fraction form
    10,315.69/15,945.19 = 15,945.19/x
  3. Step 3: Cross multiply
    10,315.69x = 15,945.19 × 15,945.19
  4. Step 4: Simplify right side
    10,315.69x = 254,249,004.41
  5. Step 5: Solve for x
    x = 254,249,004.41/10,315.69
  6. Step 6: Final answer
    x = 24,646.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.