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Finding the Third Proportional to 16,628 and 24,455.75

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Solution

The third proportional to 16,628 and 24,455.75 is: 35,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,628 : 24,455.75 = 24,455.75 : x
  2. Step 2: Convert to fraction form
    16,628/24,455.75 = 24,455.75/x
  3. Step 3: Cross multiply
    16,628x = 24,455.75 × 24,455.75
  4. Step 4: Simplify right side
    16,628x = 598,083,708.06
  5. Step 5: Solve for x
    x = 598,083,708.06/16,628
  6. Step 6: Final answer
    x = 35,968.47

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Why These Related Problems?

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