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Finding the Third Proportional to 7,935.47 and 17,437.78

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Solution

The third proportional to 7,935.47 and 17,437.78 is: 38,318.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.47 : 17,437.78 = 17,437.78 : x
  2. Step 2: Convert to fraction form
    7,935.47/17,437.78 = 17,437.78/x
  3. Step 3: Cross multiply
    7,935.47x = 17,437.78 × 17,437.78
  4. Step 4: Simplify right side
    7,935.47x = 304,076,214.92
  5. Step 5: Solve for x
    x = 304,076,214.92/7,935.47
  6. Step 6: Final answer
    x = 38,318.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.