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Finding the Third Proportional to 10,109.81 and 14,139.56

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Solution

The third proportional to 10,109.81 and 14,139.56 is: 19,775.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.81 : 14,139.56 = 14,139.56 : x
  2. Step 2: Convert to fraction form
    10,109.81/14,139.56 = 14,139.56/x
  3. Step 3: Cross multiply
    10,109.81x = 14,139.56 × 14,139.56
  4. Step 4: Simplify right side
    10,109.81x = 199,927,227.69
  5. Step 5: Solve for x
    x = 199,927,227.69/10,109.81
  6. Step 6: Final answer
    x = 19,775.56

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.