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Finding the Third Proportional to 5,014.41 and 7,655.77

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Solution

The third proportional to 5,014.41 and 7,655.77 is: 11,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.41 : 7,655.77 = 7,655.77 : x
  2. Step 2: Convert to fraction form
    5,014.41/7,655.77 = 7,655.77/x
  3. Step 3: Cross multiply
    5,014.41x = 7,655.77 × 7,655.77
  4. Step 4: Simplify right side
    5,014.41x = 58,610,747.30
  5. Step 5: Solve for x
    x = 58,610,747.30/5,014.41
  6. Step 6: Final answer
    x = 11,688.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.