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Finding the Third Proportional to 10,106.44 and 14,866.03

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Solution

The third proportional to 10,106.44 and 14,866.03 is: 21,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.44 : 14,866.03 = 14,866.03 : x
  2. Step 2: Convert to fraction form
    10,106.44/14,866.03 = 14,866.03/x
  3. Step 3: Cross multiply
    10,106.44x = 14,866.03 × 14,866.03
  4. Step 4: Simplify right side
    10,106.44x = 220,998,885.13
  5. Step 5: Solve for x
    x = 220,998,885.13/10,106.44
  6. Step 6: Final answer
    x = 21,867.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.