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Finding the Third Proportional to 2,695.13 and 4,302.84

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Solution

The third proportional to 2,695.13 and 4,302.84 is: 6,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.13 : 4,302.84 = 4,302.84 : x
  2. Step 2: Convert to fraction form
    2,695.13/4,302.84 = 4,302.84/x
  3. Step 3: Cross multiply
    2,695.13x = 4,302.84 × 4,302.84
  4. Step 4: Simplify right side
    2,695.13x = 18,514,464.34
  5. Step 5: Solve for x
    x = 18,514,464.34/2,695.13
  6. Step 6: Final answer
    x = 6,869.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.