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Finding the Third Proportional to 14,296.88 and 21,688.31

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Solution

The third proportional to 14,296.88 and 21,688.31 is: 32,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,296.88 : 21,688.31 = 21,688.31 : x
  2. Step 2: Convert to fraction form
    14,296.88/21,688.31 = 21,688.31/x
  3. Step 3: Cross multiply
    14,296.88x = 21,688.31 × 21,688.31
  4. Step 4: Simplify right side
    14,296.88x = 470,382,899.10
  5. Step 5: Solve for x
    x = 470,382,899.10/14,296.88
  6. Step 6: Final answer
    x = 32,901.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.