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Finding the Third Proportional to 20,210.75 and 43,648

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Solution

The third proportional to 20,210.75 and 43,648 is: 94,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,210.75 : 43,648 = 43,648 : x
  2. Step 2: Convert to fraction form
    20,210.75/43,648 = 43,648/x
  3. Step 3: Cross multiply
    20,210.75x = 43,648 × 43,648
  4. Step 4: Simplify right side
    20,210.75x = 1,905,147,904
  5. Step 5: Solve for x
    x = 1,905,147,904/20,210.75
  6. Step 6: Final answer
    x = 94,264.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.