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Finding the Third Proportional to 3,471.61 and 4,960.90

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Solution

The third proportional to 3,471.61 and 4,960.90 is: 7,089.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.61 : 4,960.90 = 4,960.90 : x
  2. Step 2: Convert to fraction form
    3,471.61/4,960.90 = 4,960.90/x
  3. Step 3: Cross multiply
    3,471.61x = 4,960.90 × 4,960.90
  4. Step 4: Simplify right side
    3,471.61x = 24,610,513.31
  5. Step 5: Solve for x
    x = 24,610,513.31/3,471.61
  6. Step 6: Final answer
    x = 7,089.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.