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Finding the Third Proportional to 13,184.65 and 30,356.02

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Solution

The third proportional to 13,184.65 and 30,356.02 is: 69,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.65 : 30,356.02 = 30,356.02 : x
  2. Step 2: Convert to fraction form
    13,184.65/30,356.02 = 30,356.02/x
  3. Step 3: Cross multiply
    13,184.65x = 30,356.02 × 30,356.02
  4. Step 4: Simplify right side
    13,184.65x = 921,487,684.63
  5. Step 5: Solve for x
    x = 921,487,684.63/13,184.65
  6. Step 6: Final answer
    x = 69,890.96

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.