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Finding the Third Proportional to 6,557.63 and 10,171.13

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Solution

The third proportional to 6,557.63 and 10,171.13 is: 15,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.63 : 10,171.13 = 10,171.13 : x
  2. Step 2: Convert to fraction form
    6,557.63/10,171.13 = 10,171.13/x
  3. Step 3: Cross multiply
    6,557.63x = 10,171.13 × 10,171.13
  4. Step 4: Simplify right side
    6,557.63x = 103,451,783.77
  5. Step 5: Solve for x
    x = 103,451,783.77/6,557.63
  6. Step 6: Final answer
    x = 15,775.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.