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Finding the Third Proportional to 9,143.38 and 19,674.25

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Solution

The third proportional to 9,143.38 and 19,674.25 is: 42,334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.38 : 19,674.25 = 19,674.25 : x
  2. Step 2: Convert to fraction form
    9,143.38/19,674.25 = 19,674.25/x
  3. Step 3: Cross multiply
    9,143.38x = 19,674.25 × 19,674.25
  4. Step 4: Simplify right side
    9,143.38x = 387,076,113.06
  5. Step 5: Solve for x
    x = 387,076,113.06/9,143.38
  6. Step 6: Final answer
    x = 42,334.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.