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Finding the Third Proportional to 16,145 and 21,653.50

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Solution

The third proportional to 16,145 and 21,653.50 is: 29,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145 : 21,653.50 = 21,653.50 : x
  2. Step 2: Convert to fraction form
    16,145/21,653.50 = 21,653.50/x
  3. Step 3: Cross multiply
    16,145x = 21,653.50 × 21,653.50
  4. Step 4: Simplify right side
    16,145x = 468,874,062.25
  5. Step 5: Solve for x
    x = 468,874,062.25/16,145
  6. Step 6: Final answer
    x = 29,041.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.