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Finding the Third Proportional to 3,506.63 and 7,664.63

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Solution

The third proportional to 3,506.63 and 7,664.63 is: 16,753.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.63 : 7,664.63 = 7,664.63 : x
  2. Step 2: Convert to fraction form
    3,506.63/7,664.63 = 7,664.63/x
  3. Step 3: Cross multiply
    3,506.63x = 7,664.63 × 7,664.63
  4. Step 4: Simplify right side
    3,506.63x = 58,746,476.39
  5. Step 5: Solve for x
    x = 58,746,476.39/3,506.63
  6. Step 6: Final answer
    x = 16,753.00

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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.