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Finding the Third Proportional to 10,325.50 and 22,628

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Solution

The third proportional to 10,325.50 and 22,628 is: 49,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.50 : 22,628 = 22,628 : x
  2. Step 2: Convert to fraction form
    10,325.50/22,628 = 22,628/x
  3. Step 3: Cross multiply
    10,325.50x = 22,628 × 22,628
  4. Step 4: Simplify right side
    10,325.50x = 512,026,384
  5. Step 5: Solve for x
    x = 512,026,384/10,325.50
  6. Step 6: Final answer
    x = 49,588.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.