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Finding the Third Proportional to 14,139.56 and 21,146.06

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Solution

The third proportional to 14,139.56 and 21,146.06 is: 31,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.56 : 21,146.06 = 21,146.06 : x
  2. Step 2: Convert to fraction form
    14,139.56/21,146.06 = 21,146.06/x
  3. Step 3: Cross multiply
    14,139.56x = 21,146.06 × 21,146.06
  4. Step 4: Simplify right side
    14,139.56x = 447,155,959.25
  5. Step 5: Solve for x
    x = 447,155,959.25/14,139.56
  6. Step 6: Final answer
    x = 31,624.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.