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Finding the Third Proportional to 4,172.77 and 6,602.77

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Solution

The third proportional to 4,172.77 and 6,602.77 is: 10,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.77 : 6,602.77 = 6,602.77 : x
  2. Step 2: Convert to fraction form
    4,172.77/6,602.77 = 6,602.77/x
  3. Step 3: Cross multiply
    4,172.77x = 6,602.77 × 6,602.77
  4. Step 4: Simplify right side
    4,172.77x = 43,596,513.90
  5. Step 5: Solve for x
    x = 43,596,513.90/4,172.77
  6. Step 6: Final answer
    x = 10,447.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.