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Finding the Third Proportional to 2,864.63 and 3,864.94

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Solution

The third proportional to 2,864.63 and 3,864.94 is: 5,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.63 : 3,864.94 = 3,864.94 : x
  2. Step 2: Convert to fraction form
    2,864.63/3,864.94 = 3,864.94/x
  3. Step 3: Cross multiply
    2,864.63x = 3,864.94 × 3,864.94
  4. Step 4: Simplify right side
    2,864.63x = 14,937,741.88
  5. Step 5: Solve for x
    x = 14,937,741.88/2,864.63
  6. Step 6: Final answer
    x = 5,214.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.