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Finding the Third Proportional to 7,527.94 and 17,429.06

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Solution

The third proportional to 7,527.94 and 17,429.06 is: 40,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.94 : 17,429.06 = 17,429.06 : x
  2. Step 2: Convert to fraction form
    7,527.94/17,429.06 = 17,429.06/x
  3. Step 3: Cross multiply
    7,527.94x = 17,429.06 × 17,429.06
  4. Step 4: Simplify right side
    7,527.94x = 303,772,219.63
  5. Step 5: Solve for x
    x = 303,772,219.63/7,527.94
  6. Step 6: Final answer
    x = 40,352.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.