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Finding the Third Proportional to 2,976.19 and 4,962.94

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Solution

The third proportional to 2,976.19 and 4,962.94 is: 8,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.19 : 4,962.94 = 4,962.94 : x
  2. Step 2: Convert to fraction form
    2,976.19/4,962.94 = 4,962.94/x
  3. Step 3: Cross multiply
    2,976.19x = 4,962.94 × 4,962.94
  4. Step 4: Simplify right side
    2,976.19x = 24,630,748.63
  5. Step 5: Solve for x
    x = 24,630,748.63/2,976.19
  6. Step 6: Final answer
    x = 8,275.94

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.