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Finding the Third Proportional to 6,172.77 and 14,565.76

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Solution

The third proportional to 6,172.77 and 14,565.76 is: 34,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.77 : 14,565.76 = 14,565.76 : x
  2. Step 2: Convert to fraction form
    6,172.77/14,565.76 = 14,565.76/x
  3. Step 3: Cross multiply
    6,172.77x = 14,565.76 × 14,565.76
  4. Step 4: Simplify right side
    6,172.77x = 212,161,414.45
  5. Step 5: Solve for x
    x = 212,161,414.45/6,172.77
  6. Step 6: Final answer
    x = 34,370.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.