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Finding the Third Proportional to 10,628.30 and 23,170.01

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Solution

The third proportional to 10,628.30 and 23,170.01 is: 50,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.30 : 23,170.01 = 23,170.01 : x
  2. Step 2: Convert to fraction form
    10,628.30/23,170.01 = 23,170.01/x
  3. Step 3: Cross multiply
    10,628.30x = 23,170.01 × 23,170.01
  4. Step 4: Simplify right side
    10,628.30x = 536,849,262.03
  5. Step 5: Solve for x
    x = 536,849,262.03/10,628.30
  6. Step 6: Final answer
    x = 50,511.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.