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Finding the Third Proportional to 2,376.84 and 4,190.91

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Solution

The third proportional to 2,376.84 and 4,190.91 is: 7,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.84 : 4,190.91 = 4,190.91 : x
  2. Step 2: Convert to fraction form
    2,376.84/4,190.91 = 4,190.91/x
  3. Step 3: Cross multiply
    2,376.84x = 4,190.91 × 4,190.91
  4. Step 4: Simplify right side
    2,376.84x = 17,563,695.20
  5. Step 5: Solve for x
    x = 17,563,695.20/2,376.84
  6. Step 6: Final answer
    x = 7,389.50

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.