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Finding the Third Proportional to 3,656.25 and 8,006.63

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Solution

The third proportional to 3,656.25 and 8,006.63 is: 17,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.25 : 8,006.63 = 8,006.63 : x
  2. Step 2: Convert to fraction form
    3,656.25/8,006.63 = 8,006.63/x
  3. Step 3: Cross multiply
    3,656.25x = 8,006.63 × 8,006.63
  4. Step 4: Simplify right side
    3,656.25x = 64,106,043.89
  5. Step 5: Solve for x
    x = 64,106,043.89/3,656.25
  6. Step 6: Final answer
    x = 17,533.28

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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.