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Finding the Third Proportional to 13,037.63 and 14,495.63

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Solution

The third proportional to 13,037.63 and 14,495.63 is: 16,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.63 : 14,495.63 = 14,495.63 : x
  2. Step 2: Convert to fraction form
    13,037.63/14,495.63 = 14,495.63/x
  3. Step 3: Cross multiply
    13,037.63x = 14,495.63 × 14,495.63
  4. Step 4: Simplify right side
    13,037.63x = 210,123,144.14
  5. Step 5: Solve for x
    x = 210,123,144.14/13,037.63
  6. Step 6: Final answer
    x = 16,116.67

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.