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Finding the Third Proportional to 9,435.94 and 15,169.50

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Solution

The third proportional to 9,435.94 and 15,169.50 is: 24,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.94 : 15,169.50 = 15,169.50 : x
  2. Step 2: Convert to fraction form
    9,435.94/15,169.50 = 15,169.50/x
  3. Step 3: Cross multiply
    9,435.94x = 15,169.50 × 15,169.50
  4. Step 4: Simplify right side
    9,435.94x = 230,113,730.25
  5. Step 5: Solve for x
    x = 230,113,730.25/9,435.94
  6. Step 6: Final answer
    x = 24,386.95

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.