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Finding the Third Proportional to 10,196.63 and 14,900.63

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Solution

The third proportional to 10,196.63 and 14,900.63 is: 21,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.63 : 14,900.63 = 14,900.63 : x
  2. Step 2: Convert to fraction form
    10,196.63/14,900.63 = 14,900.63/x
  3. Step 3: Cross multiply
    10,196.63x = 14,900.63 × 14,900.63
  4. Step 4: Simplify right side
    10,196.63x = 222,028,625.39
  5. Step 5: Solve for x
    x = 222,028,625.39/10,196.63
  6. Step 6: Final answer
    x = 21,774.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.