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Finding the Third Proportional to 6,549.61 and 14,135.77

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Solution

The third proportional to 6,549.61 and 14,135.77 is: 30,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.61 : 14,135.77 = 14,135.77 : x
  2. Step 2: Convert to fraction form
    6,549.61/14,135.77 = 14,135.77/x
  3. Step 3: Cross multiply
    6,549.61x = 14,135.77 × 14,135.77
  4. Step 4: Simplify right side
    6,549.61x = 199,819,869.80
  5. Step 5: Solve for x
    x = 199,819,869.80/6,549.61
  6. Step 6: Final answer
    x = 30,508.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.