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Finding the Third Proportional to 6,433.17 and 14,095.27

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Solution

The third proportional to 6,433.17 and 14,095.27 is: 30,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.17 : 14,095.27 = 14,095.27 : x
  2. Step 2: Convert to fraction form
    6,433.17/14,095.27 = 14,095.27/x
  3. Step 3: Cross multiply
    6,433.17x = 14,095.27 × 14,095.27
  4. Step 4: Simplify right side
    6,433.17x = 198,676,513.04
  5. Step 5: Solve for x
    x = 198,676,513.04/6,433.17
  6. Step 6: Final answer
    x = 30,883.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.